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Finding the Fourth Proportional to 388,611,700.20, 583,141,499.10 and 146,448,397.80

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Solution

The fourth proportional to 388,611,700.20, 583,141,499.10 and 146,448,397.80 is: 219,756,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,611,700.20 : 583,141,499.10 = 146,448,397.80 : x
  2. Step 2: Convert to fraction form
    388,611,700.20/583,141,499.10 = 146,448,397.80/x
  3. Step 3: Cross multiply
    388,611,700.20x = 583,141,499.10 × 146,448,397.80
  4. Step 4: Simplify right side
    388,611,700.20x = 85,400,138,233,885,152
  5. Step 5: Solve for x
    x = 85,400,138,233,885,152/388,611,700.20
  6. Step 6: Final answer
    x = 219,756,991.85

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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.