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Finding the Fourth Proportional to 487,480.06, 731,071.10 and 171,863.16

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Solution

The fourth proportional to 487,480.06, 731,071.10 and 171,863.16 is: 257,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,480.06 : 731,071.10 = 171,863.16 : x
  2. Step 2: Convert to fraction form
    487,480.06/731,071.10 = 171,863.16/x
  3. Step 3: Cross multiply
    487,480.06x = 731,071.10 × 171,863.16
  4. Step 4: Simplify right side
    487,480.06x = 125,644,187,118.82
  5. Step 5: Solve for x
    x = 125,644,187,118.82/487,480.06
  6. Step 6: Final answer
    x = 257,742.21

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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.