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Finding the Fourth Proportional to 311,092.80, 466,120.80 and 292,430.40

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Solution

The fourth proportional to 311,092.80, 466,120.80 and 292,430.40 is: 438,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,092.80 : 466,120.80 = 292,430.40 : x
  2. Step 2: Convert to fraction form
    311,092.80/466,120.80 = 292,430.40/x
  3. Step 3: Cross multiply
    311,092.80x = 466,120.80 × 292,430.40
  4. Step 4: Simplify right side
    311,092.80x = 136,307,891,992.32
  5. Step 5: Solve for x
    x = 136,307,891,992.32/311,092.80
  6. Step 6: Final answer
    x = 438,158.30

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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.