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Finding the Fourth Proportional to 284,438.94, 392,505.74 and 157,104.50

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Solution

The fourth proportional to 284,438.94, 392,505.74 and 157,104.50 is: 216,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,438.94 : 392,505.74 = 157,104.50 : x
  2. Step 2: Convert to fraction form
    284,438.94/392,505.74 = 157,104.50/x
  3. Step 3: Cross multiply
    284,438.94x = 392,505.74 × 157,104.50
  4. Step 4: Simplify right side
    284,438.94x = 61,664,418,029.83
  5. Step 5: Solve for x
    x = 61,664,418,029.83/284,438.94
  6. Step 6: Final answer
    x = 216,793.16

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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.