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Finding the Fourth Proportional to 291,772.91, 402,648.37 and 162,719.53

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Solution

The fourth proportional to 291,772.91, 402,648.37 and 162,719.53 is: 224,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,772.91 : 402,648.37 = 162,719.53 : x
  2. Step 2: Convert to fraction form
    291,772.91/402,648.37 = 162,719.53/x
  3. Step 3: Cross multiply
    291,772.91x = 402,648.37 × 162,719.53
  4. Step 4: Simplify right side
    291,772.91x = 65,518,754,373.14
  5. Step 5: Solve for x
    x = 65,518,754,373.14/291,772.91
  6. Step 6: Final answer
    x = 224,553.93

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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.