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Finding the Fourth Proportional to 499,392,005.80, 749,088,008.70 and 418,770,437.80

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Solution

The fourth proportional to 499,392,005.80, 749,088,008.70 and 418,770,437.80 is: 628,155,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,392,005.80 : 749,088,008.70 = 418,770,437.80 : x
  2. Step 2: Convert to fraction form
    499,392,005.80/749,088,008.70 = 418,770,437.80/x
  3. Step 3: Cross multiply
    499,392,005.80x = 749,088,008.70 × 418,770,437.80
  4. Step 4: Simplify right side
    499,392,005.80x = 313,695,913,354,029,248
  5. Step 5: Solve for x
    x = 313,695,913,354,029,248/499,392,005.80
  6. Step 6: Final answer
    x = 628,155,656.70

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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.