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Finding the Fourth Proportional to 787,680, 1,086,998.40 and 429,984

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Solution

The fourth proportional to 787,680, 1,086,998.40 and 429,984 is: 593,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,680 : 1,086,998.40 = 429,984 : x
  2. Step 2: Convert to fraction form
    787,680/1,086,998.40 = 429,984/x
  3. Step 3: Cross multiply
    787,680x = 1,086,998.40 × 429,984
  4. Step 4: Simplify right side
    787,680x = 467,391,920,025.60
  5. Step 5: Solve for x
    x = 467,391,920,025.60/787,680
  6. Step 6: Final answer
    x = 593,377.92

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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.