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Finding the Fourth Proportional to 398,607,868.80, 597,911,803.20 and 360,344,116.80

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Solution

The fourth proportional to 398,607,868.80, 597,911,803.20 and 360,344,116.80 is: 540,516,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,607,868.80 : 597,911,803.20 = 360,344,116.80 : x
  2. Step 2: Convert to fraction form
    398,607,868.80/597,911,803.20 = 360,344,116.80/x
  3. Step 3: Cross multiply
    398,607,868.80x = 597,911,803.20 × 360,344,116.80
  4. Step 4: Simplify right side
    398,607,868.80x = 215,454,000,648,399,424
  5. Step 5: Solve for x
    x = 215,454,000,648,399,424/398,607,868.80
  6. Step 6: Final answer
    x = 540,516,175.20

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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.