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Finding the Fourth Proportional to 316,140.95, 436,316.66 and 178,347.90

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Solution

The fourth proportional to 316,140.95, 436,316.66 and 178,347.90 is: 246,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,140.95 : 436,316.66 = 178,347.90 : x
  2. Step 2: Convert to fraction form
    316,140.95/436,316.66 = 178,347.90/x
  3. Step 3: Cross multiply
    316,140.95x = 436,316.66 × 178,347.90
  4. Step 4: Simplify right side
    316,140.95x = 77,816,161,459.27
  5. Step 5: Solve for x
    x = 77,816,161,459.27/316,140.95
  6. Step 6: Final answer
    x = 246,143.88

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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.