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Finding the Fourth Proportional to 311,306.40, 466,959.60 and 153,514.35

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Solution

The fourth proportional to 311,306.40, 466,959.60 and 153,514.35 is: 230,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,306.40 : 466,959.60 = 153,514.35 : x
  2. Step 2: Convert to fraction form
    311,306.40/466,959.60 = 153,514.35/x
  3. Step 3: Cross multiply
    311,306.40x = 466,959.60 × 153,514.35
  4. Step 4: Simplify right side
    311,306.40x = 71,684,999,470.26
  5. Step 5: Solve for x
    x = 71,684,999,470.26/311,306.40
  6. Step 6: Final answer
    x = 230,271.53

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1.5x scale

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.