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Finding the Fourth Proportional to 402,894,000.30, 604,341,000.45 and 280,449,993.90

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Solution

The fourth proportional to 402,894,000.30, 604,341,000.45 and 280,449,993.90 is: 420,674,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,894,000.30 : 604,341,000.45 = 280,449,993.90 : x
  2. Step 2: Convert to fraction form
    402,894,000.30/604,341,000.45 = 280,449,993.90/x
  3. Step 3: Cross multiply
    402,894,000.30x = 604,341,000.45 × 280,449,993.90
  4. Step 4: Simplify right side
    402,894,000.30x = 169,487,429,889,722,400
  5. Step 5: Solve for x
    x = 169,487,429,889,722,400/402,894,000.30
  6. Step 6: Final answer
    x = 420,674,990.85

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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.