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Finding the Fourth Proportional to 291,830.82, 402,726.53 and 157,694.82

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Solution

The fourth proportional to 291,830.82, 402,726.53 and 157,694.82 is: 217,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,830.82 : 402,726.53 = 157,694.82 : x
  2. Step 2: Convert to fraction form
    291,830.82/402,726.53 = 157,694.82/x
  3. Step 3: Cross multiply
    291,830.82x = 402,726.53 × 157,694.82
  4. Step 4: Simplify right side
    291,830.82x = 63,507,886,869.10
  5. Step 5: Solve for x
    x = 63,507,886,869.10/291,830.82
  6. Step 6: Final answer
    x = 217,618.85

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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.