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Finding the Fourth Proportional to 256,720.40, 384,562.20 and 145,782.80

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Solution

The fourth proportional to 256,720.40, 384,562.20 and 145,782.80 is: 218,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,720.40 : 384,562.20 = 145,782.80 : x
  2. Step 2: Convert to fraction form
    256,720.40/384,562.20 = 145,782.80/x
  3. Step 3: Cross multiply
    256,720.40x = 384,562.20 × 145,782.80
  4. Step 4: Simplify right side
    256,720.40x = 56,062,554,290.16
  5. Step 5: Solve for x
    x = 56,062,554,290.16/256,720.40
  6. Step 6: Final answer
    x = 218,379.82

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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.