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Finding the Fourth Proportional to 291,635.24, 402,456.54 and 157,499.24

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Solution

The fourth proportional to 291,635.24, 402,456.54 and 157,499.24 is: 217,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,635.24 : 402,456.54 = 157,499.24 : x
  2. Step 2: Convert to fraction form
    291,635.24/402,456.54 = 157,499.24/x
  3. Step 3: Cross multiply
    291,635.24x = 402,456.54 × 157,499.24
  4. Step 4: Simplify right side
    291,635.24x = 63,386,599,183.03
  5. Step 5: Solve for x
    x = 63,386,599,183.03/291,635.24
  6. Step 6: Final answer
    x = 217,348.90

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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.