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Finding the Fourth Proportional to 311,559.52, 429,972.36 and 180,763.96

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Solution

The fourth proportional to 311,559.52, 429,972.36 and 180,763.96 is: 249,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,559.52 : 429,972.36 = 180,763.96 : x
  2. Step 2: Convert to fraction form
    311,559.52/429,972.36 = 180,763.96/x
  3. Step 3: Cross multiply
    311,559.52x = 429,972.36 × 180,763.96
  4. Step 4: Simplify right side
    311,559.52x = 77,723,506,484.15
  5. Step 5: Solve for x
    x = 77,723,506,484.15/311,559.52
  6. Step 6: Final answer
    x = 249,466.00

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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.