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Finding the Fourth Proportional to 384,155.84, 576,406.56 and 243,876.80

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Solution

The fourth proportional to 384,155.84, 576,406.56 and 243,876.80 is: 365,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,155.84 : 576,406.56 = 243,876.80 : x
  2. Step 2: Convert to fraction form
    384,155.84/576,406.56 = 243,876.80/x
  3. Step 3: Cross multiply
    384,155.84x = 576,406.56 × 243,876.80
  4. Step 4: Simplify right side
    384,155.84x = 140,572,187,351.81
  5. Step 5: Solve for x
    x = 140,572,187,351.81/384,155.84
  6. Step 6: Final answer
    x = 365,924.90

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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.