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Finding the Fourth Proportional to 284,649.92, 392,816.96 and 157,325.52

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Solution

The fourth proportional to 284,649.92, 392,816.96 and 157,325.52 is: 217,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,649.92 : 392,816.96 = 157,325.52 : x
  2. Step 2: Convert to fraction form
    284,649.92/392,816.96 = 157,325.52/x
  3. Step 3: Cross multiply
    284,649.92x = 392,816.96 × 157,325.52
  4. Step 4: Simplify right side
    284,649.92x = 61,800,132,496.82
  5. Step 5: Solve for x
    x = 61,800,132,496.82/284,649.92
  6. Step 6: Final answer
    x = 217,109.26

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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.