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Finding the Fourth Proportional to 284,193.21, 392,158.72 and 156,860.60

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Solution

The fourth proportional to 284,193.21, 392,158.72 and 156,860.60 is: 216,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,193.21 : 392,158.72 = 156,860.60 : x
  2. Step 2: Convert to fraction form
    284,193.21/392,158.72 = 156,860.60/x
  3. Step 3: Cross multiply
    284,193.21x = 392,158.72 × 156,860.60
  4. Step 4: Simplify right side
    284,193.21x = 61,514,251,673.27
  5. Step 5: Solve for x
    x = 61,514,251,673.27/284,193.21
  6. Step 6: Final answer
    x = 216,452.22

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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.