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Finding the Fourth Proportional to 311,565.52, 429,980.64 and 180,769.96

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Solution

The fourth proportional to 311,565.52, 429,980.64 and 180,769.96 is: 249,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,565.52 : 429,980.64 = 180,769.96 : x
  2. Step 2: Convert to fraction form
    311,565.52/429,980.64 = 180,769.96/x
  3. Step 3: Cross multiply
    311,565.52x = 429,980.64 × 180,769.96
  4. Step 4: Simplify right side
    311,565.52x = 77,727,583,093.57
  5. Step 5: Solve for x
    x = 77,727,583,093.57/311,565.52
  6. Step 6: Final answer
    x = 249,474.28

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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.