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Finding the Fourth Proportional to 529,957.88, 731,351.28 and 288,245.72

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Solution

The fourth proportional to 529,957.88, 731,351.28 and 288,245.72 is: 397,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,957.88 : 731,351.28 = 288,245.72 : x
  2. Step 2: Convert to fraction form
    529,957.88/731,351.28 = 288,245.72/x
  3. Step 3: Cross multiply
    529,957.88x = 731,351.28 × 288,245.72
  4. Step 4: Simplify right side
    529,957.88x = 210,808,876,276.52
  5. Step 5: Solve for x
    x = 210,808,876,276.52/529,957.88
  6. Step 6: Final answer
    x = 397,784.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.