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Finding the Fourth Proportional to 284,539.72, 392,664.02 and 157,214.41

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Solution

The fourth proportional to 284,539.72, 392,664.02 and 157,214.41 is: 216,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,539.72 : 392,664.02 = 157,214.41 : x
  2. Step 2: Convert to fraction form
    284,539.72/392,664.02 = 157,214.41/x
  3. Step 3: Cross multiply
    284,539.72x = 392,664.02 × 157,214.41
  4. Step 4: Simplify right side
    284,539.72x = 61,732,442,232.53
  5. Step 5: Solve for x
    x = 61,732,442,232.53/284,539.72
  6. Step 6: Final answer
    x = 216,955.45

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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.