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Finding the Fourth Proportional to 392,425,206.60, 588,637,809.90 and 384,363,049.80

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Solution

The fourth proportional to 392,425,206.60, 588,637,809.90 and 384,363,049.80 is: 576,544,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,425,206.60 : 588,637,809.90 = 384,363,049.80 : x
  2. Step 2: Convert to fraction form
    392,425,206.60/588,637,809.90 = 384,363,049.80/x
  3. Step 3: Cross multiply
    392,425,206.60x = 588,637,809.90 × 384,363,049.80
  4. Step 4: Simplify right side
    392,425,206.60x = 226,250,623,840,756,640
  5. Step 5: Solve for x
    x = 226,250,623,840,756,640/392,425,206.60
  6. Step 6: Final answer
    x = 576,544,574.70

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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.