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Finding the Fourth Proportional to 649,584,476.68, 896,343,978.90 and 371,144,034.76

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Solution

The fourth proportional to 649,584,476.68, 896,343,978.90 and 371,144,034.76 is: 512,131,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,584,476.68 : 896,343,978.90 = 371,144,034.76 : x
  2. Step 2: Convert to fraction form
    649,584,476.68/896,343,978.90 = 371,144,034.76/x
  3. Step 3: Cross multiply
    649,584,476.68x = 896,343,978.90 × 371,144,034.76
  4. Step 4: Simplify right side
    649,584,476.68x = 332,672,720,861,778,304
  5. Step 5: Solve for x
    x = 332,672,720,861,778,304/649,584,476.68
  6. Step 6: Final answer
    x = 512,131,574.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.