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Finding the Fourth Proportional to 291,617, 402,431.46 and 157,481

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Solution

The fourth proportional to 291,617, 402,431.46 and 157,481 is: 217,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,617 : 402,431.46 = 157,481 : x
  2. Step 2: Convert to fraction form
    291,617/402,431.46 = 157,481/x
  3. Step 3: Cross multiply
    291,617x = 402,431.46 × 157,481
  4. Step 4: Simplify right side
    291,617x = 63,375,308,752.26
  5. Step 5: Solve for x
    x = 63,375,308,752.26/291,617
  6. Step 6: Final answer
    x = 217,323.78

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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.