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Finding the Fourth Proportional to 477,363.42, 715,991.67 and 122,385.78

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Solution

The fourth proportional to 477,363.42, 715,991.67 and 122,385.78 is: 183,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,363.42 : 715,991.67 = 122,385.78 : x
  2. Step 2: Convert to fraction form
    477,363.42/715,991.67 = 122,385.78/x
  3. Step 3: Cross multiply
    477,363.42x = 715,991.67 × 122,385.78
  4. Step 4: Simplify right side
    477,363.42x = 87,627,199,006.45
  5. Step 5: Solve for x
    x = 87,627,199,006.45/477,363.42
  6. Step 6: Final answer
    x = 183,564.96

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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.