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Finding the Fourth Proportional to 315,657.74, 473,693.76 and 115,979.78

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Solution

The fourth proportional to 315,657.74, 473,693.76 and 115,979.78 is: 174,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,657.74 : 473,693.76 = 115,979.78 : x
  2. Step 2: Convert to fraction form
    315,657.74/473,693.76 = 115,979.78/x
  3. Step 3: Cross multiply
    315,657.74x = 473,693.76 × 115,979.78
  4. Step 4: Simplify right side
    315,657.74x = 54,938,898,072.17
  5. Step 5: Solve for x
    x = 54,938,898,072.17/315,657.74
  6. Step 6: Final answer
    x = 174,045.78

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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.