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Finding the Fourth Proportional to 319,187.79, 440,470.31 and 175,947.80

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Solution

The fourth proportional to 319,187.79, 440,470.31 and 175,947.80 is: 242,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,187.79 : 440,470.31 = 175,947.80 : x
  2. Step 2: Convert to fraction form
    319,187.79/440,470.31 = 175,947.80/x
  3. Step 3: Cross multiply
    319,187.79x = 440,470.31 × 175,947.80
  4. Step 4: Simplify right side
    319,187.79x = 77,499,778,927.73
  5. Step 5: Solve for x
    x = 77,499,778,927.73/319,187.79
  6. Step 6: Final answer
    x = 242,803.08

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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.