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Finding the Fourth Proportional to 312,218.84, 430,863.28 and 168,978.85

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Solution

The fourth proportional to 312,218.84, 430,863.28 and 168,978.85 is: 233,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,218.84 : 430,863.28 = 168,978.85 : x
  2. Step 2: Convert to fraction form
    312,218.84/430,863.28 = 168,978.85/x
  3. Step 3: Cross multiply
    312,218.84x = 430,863.28 × 168,978.85
  4. Step 4: Simplify right side
    312,218.84x = 72,806,780,062.02
  5. Step 5: Solve for x
    x = 72,806,780,062.02/312,218.84
  6. Step 6: Final answer
    x = 233,191.50

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1.5x scale

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.