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Finding the Fourth Proportional to 401,914,937.80, 602,872,406.70 and 398,513,715.40

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Solution

The fourth proportional to 401,914,937.80, 602,872,406.70 and 398,513,715.40 is: 597,770,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,914,937.80 : 602,872,406.70 = 398,513,715.40 : x
  2. Step 2: Convert to fraction form
    401,914,937.80/602,872,406.70 = 398,513,715.40/x
  3. Step 3: Cross multiply
    401,914,937.80x = 602,872,406.70 × 398,513,715.40
  4. Step 4: Simplify right side
    401,914,937.80x = 240,252,922,706,156,864
  5. Step 5: Solve for x
    x = 240,252,922,706,156,864/401,914,937.80
  6. Step 6: Final answer
    x = 597,770,573.10

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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.