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Finding the Fourth Proportional to 315,970.92, 473,956.29 and 126,516.60

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Solution

The fourth proportional to 315,970.92, 473,956.29 and 126,516.60 is: 189,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,970.92 : 473,956.29 = 126,516.60 : x
  2. Step 2: Convert to fraction form
    315,970.92/473,956.29 = 126,516.60/x
  3. Step 3: Cross multiply
    315,970.92x = 473,956.29 × 126,516.60
  4. Step 4: Simplify right side
    315,970.92x = 59,963,338,359.41
  5. Step 5: Solve for x
    x = 59,963,338,359.41/315,970.92
  6. Step 6: Final answer
    x = 189,774.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.