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Finding the Fourth Proportional to 657,704.10, 986,264.55 and 302,535.30

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Solution

The fourth proportional to 657,704.10, 986,264.55 and 302,535.30 is: 453,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,704.10 : 986,264.55 = 302,535.30 : x
  2. Step 2: Convert to fraction form
    657,704.10/986,264.55 = 302,535.30/x
  3. Step 3: Cross multiply
    657,704.10x = 986,264.55 × 302,535.30
  4. Step 4: Simplify right side
    657,704.10x = 298,379,841,513.62
  5. Step 5: Solve for x
    x = 298,379,841,513.62/657,704.10
  6. Step 6: Final answer
    x = 453,668.82

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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.