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Finding the Fourth Proportional to 284,476.12, 392,562.54 and 157,127.08

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Solution

The fourth proportional to 284,476.12, 392,562.54 and 157,127.08 is: 216,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,476.12 : 392,562.54 = 157,127.08 : x
  2. Step 2: Convert to fraction form
    284,476.12/392,562.54 = 157,127.08/x
  3. Step 3: Cross multiply
    284,476.12x = 392,562.54 × 157,127.08
  4. Step 4: Simplify right side
    284,476.12x = 61,682,205,627.58
  5. Step 5: Solve for x
    x = 61,682,205,627.58/284,476.12
  6. Step 6: Final answer
    x = 216,827.36

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1.5x scale

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.