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Finding the Fourth Proportional to 285,728.68, 428,626.14 and 108,368.20

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Solution

The fourth proportional to 285,728.68, 428,626.14 and 108,368.20 is: 162,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,728.68 : 428,626.14 = 108,368.20 : x
  2. Step 2: Convert to fraction form
    285,728.68/428,626.14 = 108,368.20/x
  3. Step 3: Cross multiply
    285,728.68x = 428,626.14 × 108,368.20
  4. Step 4: Simplify right side
    285,728.68x = 46,449,443,264.75
  5. Step 5: Solve for x
    x = 46,449,443,264.75/285,728.68
  6. Step 6: Final answer
    x = 162,564.86

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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.