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Finding the Fourth Proportional to 309,620.10, 464,430.15 and 185,204.10

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Solution

The fourth proportional to 309,620.10, 464,430.15 and 185,204.10 is: 277,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,620.10 : 464,430.15 = 185,204.10 : x
  2. Step 2: Convert to fraction form
    309,620.10/464,430.15 = 185,204.10/x
  3. Step 3: Cross multiply
    309,620.10x = 464,430.15 × 185,204.10
  4. Step 4: Simplify right side
    309,620.10x = 86,014,367,943.62
  5. Step 5: Solve for x
    x = 86,014,367,943.62/309,620.10
  6. Step 6: Final answer
    x = 277,806.15

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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.