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Finding the Fourth Proportional to 508,719.10, 763,078.65 and 309,430.30

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Solution

The fourth proportional to 508,719.10, 763,078.65 and 309,430.30 is: 464,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,719.10 : 763,078.65 = 309,430.30 : x
  2. Step 2: Convert to fraction form
    508,719.10/763,078.65 = 309,430.30/x
  3. Step 3: Cross multiply
    508,719.10x = 763,078.65 × 309,430.30
  4. Step 4: Simplify right side
    508,719.10x = 236,119,655,593.10
  5. Step 5: Solve for x
    x = 236,119,655,593.10/508,719.10
  6. Step 6: Final answer
    x = 464,145.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.