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Finding the Fourth Proportional to 657,044.63, 985,673.55 and 257,468.79

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Solution

The fourth proportional to 657,044.63, 985,673.55 and 257,468.79 is: 386,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,044.63 : 985,673.55 = 257,468.79 : x
  2. Step 2: Convert to fraction form
    657,044.63/985,673.55 = 257,468.79/x
  3. Step 3: Cross multiply
    657,044.63x = 985,673.55 × 257,468.79
  4. Step 4: Simplify right side
    657,044.63x = 253,780,176,253.51
  5. Step 5: Solve for x
    x = 253,780,176,253.51/657,044.63
  6. Step 6: Final answer
    x = 386,244.96

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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.