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Finding the Fourth Proportional to 498,615,920.80, 747,923,881.20 and 314,949,911.20

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Solution

The fourth proportional to 498,615,920.80, 747,923,881.20 and 314,949,911.20 is: 472,424,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,615,920.80 : 747,923,881.20 = 314,949,911.20 : x
  2. Step 2: Convert to fraction form
    498,615,920.80/747,923,881.20 = 314,949,911.20/x
  3. Step 3: Cross multiply
    498,615,920.80x = 747,923,881.20 × 314,949,911.20
  4. Step 4: Simplify right side
    498,615,920.80x = 235,558,559,968,299,360
  5. Step 5: Solve for x
    x = 235,558,559,968,299,360/498,615,920.80
  6. Step 6: Final answer
    x = 472,424,866.80

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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.