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Finding the Fourth Proportional to 487,375.40, 731,063.10 and 171,864.20

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Solution

The fourth proportional to 487,375.40, 731,063.10 and 171,864.20 is: 257,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,375.40 : 731,063.10 = 171,864.20 : x
  2. Step 2: Convert to fraction form
    487,375.40/731,063.10 = 171,864.20/x
  3. Step 3: Cross multiply
    487,375.40x = 731,063.10 × 171,864.20
  4. Step 4: Simplify right side
    487,375.40x = 125,643,574,831.02
  5. Step 5: Solve for x
    x = 125,643,574,831.02/487,375.40
  6. Step 6: Final answer
    x = 257,796.30

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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.