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Finding the Fourth Proportional to 284,564.42, 392,698.77 and 157,238.90

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Solution

The fourth proportional to 284,564.42, 392,698.77 and 157,238.90 is: 216,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,564.42 : 392,698.77 = 157,238.90 : x
  2. Step 2: Convert to fraction form
    284,564.42/392,698.77 = 157,238.90/x
  3. Step 3: Cross multiply
    284,564.42x = 392,698.77 × 157,238.90
  4. Step 4: Simplify right side
    284,564.42x = 61,747,522,626.15
  5. Step 5: Solve for x
    x = 61,747,522,626.15/284,564.42
  6. Step 6: Final answer
    x = 216,989.61

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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.