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Finding the Fourth Proportional to 354,712,663.80, 489,733,806.60 and 317,478,463.92

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Solution

The fourth proportional to 354,712,663.80, 489,733,806.60 and 317,478,463.92 is: 438,326,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,712,663.80 : 489,733,806.60 = 317,478,463.92 : x
  2. Step 2: Convert to fraction form
    354,712,663.80/489,733,806.60 = 317,478,463.92/x
  3. Step 3: Cross multiply
    354,712,663.80x = 489,733,806.60 × 317,478,463.92
  4. Step 4: Simplify right side
    354,712,663.80x = 155,479,936,649,062,368
  5. Step 5: Solve for x
    x = 155,479,936,649,062,368/354,712,663.80
  6. Step 6: Final answer
    x = 438,326,432.96

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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.