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Finding the Fourth Proportional to 291,857.76, 402,763.59 and 157,721.76

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Solution

The fourth proportional to 291,857.76, 402,763.59 and 157,721.76 is: 217,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,857.76 : 402,763.59 = 157,721.76 : x
  2. Step 2: Convert to fraction form
    291,857.76/402,763.59 = 157,721.76/x
  3. Step 3: Cross multiply
    291,857.76x = 402,763.59 × 157,721.76
  4. Step 4: Simplify right side
    291,857.76x = 63,524,582,278.72
  5. Step 5: Solve for x
    x = 63,524,582,278.72/291,857.76
  6. Step 6: Final answer
    x = 217,655.96

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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.