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Finding the Fourth Proportional to 291,830.40, 402,732.15 and 164,505.96

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Solution

The fourth proportional to 291,830.40, 402,732.15 and 164,505.96 is: 227,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,830.40 : 402,732.15 = 164,505.96 : x
  2. Step 2: Convert to fraction form
    291,830.40/402,732.15 = 164,505.96/x
  3. Step 3: Cross multiply
    291,830.40x = 402,732.15 × 164,505.96
  4. Step 4: Simplify right side
    291,830.40x = 66,251,838,958.61
  5. Step 5: Solve for x
    x = 66,251,838,958.61/291,830.40
  6. Step 6: Final answer
    x = 227,021.72

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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.