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Finding the Fourth Proportional to 289,686.30, 433,545.30 and 254,256.90

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Solution

The fourth proportional to 289,686.30, 433,545.30 and 254,256.90 is: 380,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,686.30 : 433,545.30 = 254,256.90 : x
  2. Step 2: Convert to fraction form
    289,686.30/433,545.30 = 254,256.90/x
  3. Step 3: Cross multiply
    289,686.30x = 433,545.30 × 254,256.90
  4. Step 4: Simplify right side
    289,686.30x = 110,231,883,987.57
  5. Step 5: Solve for x
    x = 110,231,883,987.57/289,686.30
  6. Step 6: Final answer
    x = 380,521.56

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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.