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Finding the Fourth Proportional to 316,141.95, 436,318.04 and 178,348.90

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Solution

The fourth proportional to 316,141.95, 436,318.04 and 178,348.90 is: 246,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,141.95 : 436,318.04 = 178,348.90 : x
  2. Step 2: Convert to fraction form
    316,141.95/436,318.04 = 178,348.90/x
  3. Step 3: Cross multiply
    316,141.95x = 436,318.04 × 178,348.90
  4. Step 4: Simplify right side
    316,141.95x = 77,816,842,484.16
  5. Step 5: Solve for x
    x = 77,816,842,484.16/316,141.95
  6. Step 6: Final answer
    x = 246,145.26

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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.