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Finding the Fourth Proportional to 284,673.68, 392,881.64 and 171,494

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Solution

The fourth proportional to 284,673.68, 392,881.64 and 171,494 is: 236,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,673.68 : 392,881.64 = 171,494 : x
  2. Step 2: Convert to fraction form
    284,673.68/392,881.64 = 171,494/x
  3. Step 3: Cross multiply
    284,673.68x = 392,881.64 × 171,494
  4. Step 4: Simplify right side
    284,673.68x = 67,376,843,970.16
  5. Step 5: Solve for x
    x = 67,376,843,970.16/284,673.68
  6. Step 6: Final answer
    x = 236,680.97

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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.