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Finding the Fourth Proportional to 407,119.40, 610,679.10 and 380,875.40

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Solution

The fourth proportional to 407,119.40, 610,679.10 and 380,875.40 is: 571,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,119.40 : 610,679.10 = 380,875.40 : x
  2. Step 2: Convert to fraction form
    407,119.40/610,679.10 = 380,875.40/x
  3. Step 3: Cross multiply
    407,119.40x = 610,679.10 × 380,875.40
  4. Step 4: Simplify right side
    407,119.40x = 232,592,646,484.14
  5. Step 5: Solve for x
    x = 232,592,646,484.14/407,119.40
  6. Step 6: Final answer
    x = 571,313.10

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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.