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Finding the Fourth Proportional to 657,980.20, 985,658.10 and 458,525.80

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Solution

The fourth proportional to 657,980.20, 985,658.10 and 458,525.80 is: 686,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,980.20 : 985,658.10 = 458,525.80 : x
  2. Step 2: Convert to fraction form
    657,980.20/985,658.10 = 458,525.80/x
  3. Step 3: Cross multiply
    657,980.20x = 985,658.10 × 458,525.80
  4. Step 4: Simplify right side
    657,980.20x = 451,949,668,828.98
  5. Step 5: Solve for x
    x = 451,949,668,828.98/657,980.20
  6. Step 6: Final answer
    x = 686,874.27

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1.5x scale

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.