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Finding the Fourth Proportional to 284,701, 392,884.50 and 157,370.44

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Solution

The fourth proportional to 284,701, 392,884.50 and 157,370.44 is: 217,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,701 : 392,884.50 = 157,370.44 : x
  2. Step 2: Convert to fraction form
    284,701/392,884.50 = 157,370.44/x
  3. Step 3: Cross multiply
    284,701x = 392,884.50 × 157,370.44
  4. Step 4: Simplify right side
    284,701x = 61,828,406,634.18
  5. Step 5: Solve for x
    x = 61,828,406,634.18/284,701
  6. Step 6: Final answer
    x = 217,169.62

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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.