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Finding the Fourth Proportional to 425,426.70, 638,140.05 and 414,929.10

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Solution

The fourth proportional to 425,426.70, 638,140.05 and 414,929.10 is: 622,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,426.70 : 638,140.05 = 414,929.10 : x
  2. Step 2: Convert to fraction form
    425,426.70/638,140.05 = 414,929.10/x
  3. Step 3: Cross multiply
    425,426.70x = 638,140.05 × 414,929.10
  4. Step 4: Simplify right side
    425,426.70x = 264,782,876,620.46
  5. Step 5: Solve for x
    x = 264,782,876,620.46/425,426.70
  6. Step 6: Final answer
    x = 622,393.65

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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.