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Finding the Fourth Proportional to 310,905.86, 466,357.05 and 268,657.47

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Solution

The fourth proportional to 310,905.86, 466,357.05 and 268,657.47 is: 402,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905.86 : 466,357.05 = 268,657.47 : x
  2. Step 2: Convert to fraction form
    310,905.86/466,357.05 = 268,657.47/x
  3. Step 3: Cross multiply
    310,905.86x = 466,357.05 × 268,657.47
  4. Step 4: Simplify right side
    310,905.86x = 125,290,305,169.66
  5. Step 5: Solve for x
    x = 125,290,305,169.66/310,905.86
  6. Step 6: Final answer
    x = 402,984.71

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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.