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Finding the Fourth Proportional to 768,651.20, 1,060,639.20 and 429,133.76

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Solution

The fourth proportional to 768,651.20, 1,060,639.20 and 429,133.76 is: 592,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,651.20 : 1,060,639.20 = 429,133.76 : x
  2. Step 2: Convert to fraction form
    768,651.20/1,060,639.20 = 429,133.76/x
  3. Step 3: Cross multiply
    768,651.20x = 1,060,639.20 × 429,133.76
  4. Step 4: Simplify right side
    768,651.20x = 455,156,087,899.39
  5. Step 5: Solve for x
    x = 455,156,087,899.39/768,651.20
  6. Step 6: Final answer
    x = 592,149.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.