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Finding the Fourth Proportional to 284,410.11, 392,452.38 and 157,078.11

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Solution

The fourth proportional to 284,410.11, 392,452.38 and 157,078.11 is: 216,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,410.11 : 392,452.38 = 157,078.11 : x
  2. Step 2: Convert to fraction form
    284,410.11/392,452.38 = 157,078.11/x
  3. Step 3: Cross multiply
    284,410.11x = 392,452.38 × 157,078.11
  4. Step 4: Simplify right side
    284,410.11x = 61,645,678,115.40
  5. Step 5: Solve for x
    x = 61,645,678,115.40/284,410.11
  6. Step 6: Final answer
    x = 216,749.25

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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.