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Finding the Fourth Proportional to 520,388.23, 781,262.14 and 417,860.30

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Solution

The fourth proportional to 520,388.23, 781,262.14 and 417,860.30 is: 627,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,388.23 : 781,262.14 = 417,860.30 : x
  2. Step 2: Convert to fraction form
    520,388.23/781,262.14 = 417,860.30/x
  3. Step 3: Cross multiply
    520,388.23x = 781,262.14 × 417,860.30
  4. Step 4: Simplify right side
    520,388.23x = 326,458,432,199.04
  5. Step 5: Solve for x
    x = 326,458,432,199.04/520,388.23
  6. Step 6: Final answer
    x = 627,336.32

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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.