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Finding the Fourth Proportional to 465,779.20, 698,668.80 and 415,040.80

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Solution

The fourth proportional to 465,779.20, 698,668.80 and 415,040.80 is: 622,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,779.20 : 698,668.80 = 415,040.80 : x
  2. Step 2: Convert to fraction form
    465,779.20/698,668.80 = 415,040.80/x
  3. Step 3: Cross multiply
    465,779.20x = 698,668.80 × 415,040.80
  4. Step 4: Simplify right side
    465,779.20x = 289,976,057,687.04
  5. Step 5: Solve for x
    x = 289,976,057,687.04/465,779.20
  6. Step 6: Final answer
    x = 622,561.20

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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.