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Finding the Fourth Proportional to 291,507.69, 402,381.29 and 170,687.82

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Solution

The fourth proportional to 291,507.69, 402,381.29 and 170,687.82 is: 235,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,507.69 : 402,381.29 = 170,687.82 : x
  2. Step 2: Convert to fraction form
    291,507.69/402,381.29 = 170,687.82/x
  3. Step 3: Cross multiply
    291,507.69x = 402,381.29 × 170,687.82
  4. Step 4: Simplify right side
    291,507.69x = 68,681,584,345.45
  5. Step 5: Solve for x
    x = 68,681,584,345.45/291,507.69
  6. Step 6: Final answer
    x = 235,608.14

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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.