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Finding the Fourth Proportional to 657,309.90, 985,284.45 and 357,156.30

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Solution

The fourth proportional to 657,309.90, 985,284.45 and 357,156.30 is: 535,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,309.90 : 985,284.45 = 357,156.30 : x
  2. Step 2: Convert to fraction form
    657,309.90/985,284.45 = 357,156.30/x
  3. Step 3: Cross multiply
    657,309.90x = 985,284.45 × 357,156.30
  4. Step 4: Simplify right side
    657,309.90x = 351,900,548,609.54
  5. Step 5: Solve for x
    x = 351,900,548,609.54/657,309.90
  6. Step 6: Final answer
    x = 535,364.75

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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.