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Finding the Fourth Proportional to 284,478.60, 392,574.82 and 157,153

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Solution

The fourth proportional to 284,478.60, 392,574.82 and 157,153 is: 216,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,478.60 : 392,574.82 = 157,153 : x
  2. Step 2: Convert to fraction form
    284,478.60/392,574.82 = 157,153/x
  3. Step 3: Cross multiply
    284,478.60x = 392,574.82 × 157,153
  4. Step 4: Simplify right side
    284,478.60x = 61,694,310,687.46
  5. Step 5: Solve for x
    x = 61,694,310,687.46/284,478.60
  6. Step 6: Final answer
    x = 216,868.02

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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.