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Finding the Fourth Proportional to 709,743.80, 980,514.78 and 465,309.32

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Solution

The fourth proportional to 709,743.80, 980,514.78 and 465,309.32 is: 642,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,743.80 : 980,514.78 = 465,309.32 : x
  2. Step 2: Convert to fraction form
    709,743.80/980,514.78 = 465,309.32/x
  3. Step 3: Cross multiply
    709,743.80x = 980,514.78 × 465,309.32
  4. Step 4: Simplify right side
    709,743.80x = 456,242,665,531.75
  5. Step 5: Solve for x
    x = 456,242,665,531.75/709,743.80
  6. Step 6: Final answer
    x = 642,827.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.