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Finding the Fourth Proportional to 255,487.24, 383,406.78 and 89,275.24

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Solution

The fourth proportional to 255,487.24, 383,406.78 and 89,275.24 is: 133,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,487.24 : 383,406.78 = 89,275.24 : x
  2. Step 2: Convert to fraction form
    255,487.24/383,406.78 = 89,275.24/x
  3. Step 3: Cross multiply
    255,487.24x = 383,406.78 × 89,275.24
  4. Step 4: Simplify right side
    255,487.24x = 34,228,732,302.13
  5. Step 5: Solve for x
    x = 34,228,732,302.13/255,487.24
  6. Step 6: Final answer
    x = 133,974.33

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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.