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Finding the Fourth Proportional to 316,142.46, 436,318.73 and 178,349.40

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Solution

The fourth proportional to 316,142.46, 436,318.73 and 178,349.40 is: 246,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,142.46 : 436,318.73 = 178,349.40 : x
  2. Step 2: Convert to fraction form
    316,142.46/436,318.73 = 178,349.40/x
  3. Step 3: Cross multiply
    316,142.46x = 436,318.73 × 178,349.40
  4. Step 4: Simplify right side
    316,142.46x = 77,817,182,812.52
  5. Step 5: Solve for x
    x = 77,817,182,812.52/316,142.46
  6. Step 6: Final answer
    x = 246,145.94

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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.