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Finding the Fourth Proportional to 516,717.18, 774,657.54 and 161,548.38

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Solution

The fourth proportional to 516,717.18, 774,657.54 and 161,548.38 is: 242,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,717.18 : 774,657.54 = 161,548.38 : x
  2. Step 2: Convert to fraction form
    516,717.18/774,657.54 = 161,548.38/x
  3. Step 3: Cross multiply
    516,717.18x = 774,657.54 × 161,548.38
  4. Step 4: Simplify right side
    516,717.18x = 125,144,670,641.79
  5. Step 5: Solve for x
    x = 125,144,670,641.79/516,717.18
  6. Step 6: Final answer
    x = 242,191.81

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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.