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Finding the Fourth Proportional to 657,073.34, 985,716.48 and 257,497.46

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Solution

The fourth proportional to 657,073.34, 985,716.48 and 257,497.46 is: 386,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,073.34 : 985,716.48 = 257,497.46 : x
  2. Step 2: Convert to fraction form
    657,073.34/985,716.48 = 257,497.46/x
  3. Step 3: Cross multiply
    657,073.34x = 985,716.48 × 257,497.46
  4. Step 4: Simplify right side
    657,073.34x = 253,819,489,880.14
  5. Step 5: Solve for x
    x = 253,819,489,880.14/657,073.34
  6. Step 6: Final answer
    x = 386,287.91

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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.