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Finding the Fourth Proportional to 284,242.41, 392,244.24 and 156,915.27

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Solution

The fourth proportional to 284,242.41, 392,244.24 and 156,915.27 is: 216,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,242.41 : 392,244.24 = 156,915.27 : x
  2. Step 2: Convert to fraction form
    284,242.41/392,244.24 = 156,915.27/x
  3. Step 3: Cross multiply
    284,242.41x = 392,244.24 × 156,915.27
  4. Step 4: Simplify right side
    284,242.41x = 61,549,110,825.54
  5. Step 5: Solve for x
    x = 61,549,110,825.54/284,242.41
  6. Step 6: Final answer
    x = 216,537.39

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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.