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Finding the Fourth Proportional to 291,769.31, 402,641.66 and 157,633.31

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Solution

The fourth proportional to 291,769.31, 402,641.66 and 157,633.31 is: 217,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,769.31 : 402,641.66 = 157,633.31 : x
  2. Step 2: Convert to fraction form
    291,769.31/402,641.66 = 157,633.31/x
  3. Step 3: Cross multiply
    291,769.31x = 402,641.66 × 157,633.31
  4. Step 4: Simplify right side
    291,769.31x = 63,469,739,010.38
  5. Step 5: Solve for x
    x = 63,469,739,010.38/291,769.31
  6. Step 6: Final answer
    x = 217,533.98

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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.