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Finding the Fourth Proportional to 770,874.25, 1,156,767 and 429,602.62

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Solution

The fourth proportional to 770,874.25, 1,156,767 and 429,602.62 is: 644,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,874.25 : 1,156,767 = 429,602.62 : x
  2. Step 2: Convert to fraction form
    770,874.25/1,156,767 = 429,602.62/x
  3. Step 3: Cross multiply
    770,874.25x = 1,156,767 × 429,602.62
  4. Step 4: Simplify right side
    770,874.25x = 496,950,133,929.54
  5. Step 5: Solve for x
    x = 496,950,133,929.54/770,874.25
  6. Step 6: Final answer
    x = 644,657.85

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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.