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Finding the Fourth Proportional to 315,755,814.80, 473,597,541.04 and 82,609,034.16

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Solution

The fourth proportional to 315,755,814.80, 473,597,541.04 and 82,609,034.16 is: 123,904,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,755,814.80 : 473,597,541.04 = 82,609,034.16 : x
  2. Step 2: Convert to fraction form
    315,755,814.80/473,597,541.04 = 82,609,034.16/x
  3. Step 3: Cross multiply
    315,755,814.80x = 473,597,541.04 × 82,609,034.16
  4. Step 4: Simplify right side
    315,755,814.80x = 39,123,435,445,865,360
  5. Step 5: Solve for x
    x = 39,123,435,445,865,360/315,755,814.80
  6. Step 6: Final answer
    x = 123,904,085.41

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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.