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Finding the Fourth Proportional to 270,779.28, 406,233.72 and 83,790.80

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Solution

The fourth proportional to 270,779.28, 406,233.72 and 83,790.80 is: 125,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,779.28 : 406,233.72 = 83,790.80 : x
  2. Step 2: Convert to fraction form
    270,779.28/406,233.72 = 83,790.80/x
  3. Step 3: Cross multiply
    270,779.28x = 406,233.72 × 83,790.80
  4. Step 4: Simplify right side
    270,779.28x = 34,038,648,385.78
  5. Step 5: Solve for x
    x = 34,038,648,385.78/270,779.28
  6. Step 6: Final answer
    x = 125,706.25

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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.