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Finding the Fourth Proportional to 284,687.60, 392,852 and 157,355.60

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Solution

The fourth proportional to 284,687.60, 392,852 and 157,355.60 is: 217,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,687.60 : 392,852 = 157,355.60 : x
  2. Step 2: Convert to fraction form
    284,687.60/392,852 = 157,355.60/x
  3. Step 3: Cross multiply
    284,687.60x = 392,852 × 157,355.60
  4. Step 4: Simplify right side
    284,687.60x = 61,817,462,171.20
  5. Step 5: Solve for x
    x = 61,817,462,171.20/284,687.60
  6. Step 6: Final answer
    x = 217,141.39

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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.