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Finding the Fourth Proportional to 315,460.46, 435,373.63 and 179,527.47

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Solution

The fourth proportional to 315,460.46, 435,373.63 and 179,527.47 is: 247,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,460.46 : 435,373.63 = 179,527.47 : x
  2. Step 2: Convert to fraction form
    315,460.46/435,373.63 = 179,527.47/x
  3. Step 3: Cross multiply
    315,460.46x = 435,373.63 × 179,527.47
  4. Step 4: Simplify right side
    315,460.46x = 78,161,526,298.62
  5. Step 5: Solve for x
    x = 78,161,526,298.62/315,460.46
  6. Step 6: Final answer
    x = 247,769.65

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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.