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Finding the Fourth Proportional to 497,470.68, 746,203.19 and 142,484.81

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Solution

The fourth proportional to 497,470.68, 746,203.19 and 142,484.81 is: 213,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,470.68 : 746,203.19 = 142,484.81 : x
  2. Step 2: Convert to fraction form
    497,470.68/746,203.19 = 142,484.81/x
  3. Step 3: Cross multiply
    497,470.68x = 746,203.19 × 142,484.81
  4. Step 4: Simplify right side
    497,470.68x = 106,322,615,305.10
  5. Step 5: Solve for x
    x = 106,322,615,305.10/497,470.68
  6. Step 6: Final answer
    x = 213,726.40

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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.