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Finding the Fourth Proportional to 312,302.18, 430,978.38 and 169,062.23

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Solution

The fourth proportional to 312,302.18, 430,978.38 and 169,062.23 is: 233,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,302.18 : 430,978.38 = 169,062.23 : x
  2. Step 2: Convert to fraction form
    312,302.18/430,978.38 = 169,062.23/x
  3. Step 3: Cross multiply
    312,302.18x = 430,978.38 × 169,062.23
  4. Step 4: Simplify right side
    312,302.18x = 72,862,163,849.70
  5. Step 5: Solve for x
    x = 72,862,163,849.70/312,302.18
  6. Step 6: Final answer
    x = 233,306.62

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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.