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Finding the Fourth Proportional to 423,564,891.88, 633,396,916.41 and 402,902,465.80

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Solution

The fourth proportional to 423,564,891.88, 633,396,916.41 and 402,902,465.80 is: 602,498,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,564,891.88 : 633,396,916.41 = 402,902,465.80 : x
  2. Step 2: Convert to fraction form
    423,564,891.88/633,396,916.41 = 402,902,465.80/x
  3. Step 3: Cross multiply
    423,564,891.88x = 633,396,916.41 × 402,902,465.80
  4. Step 4: Simplify right side
    423,564,891.88x = 255,197,179,451,705,472
  5. Step 5: Solve for x
    x = 255,197,179,451,705,472/423,564,891.88
  6. Step 6: Final answer
    x = 602,498,423.13

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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.