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Finding the Fourth Proportional to 661,646.80, 992,470.20 and 409,128.40

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Solution

The fourth proportional to 661,646.80, 992,470.20 and 409,128.40 is: 613,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,646.80 : 992,470.20 = 409,128.40 : x
  2. Step 2: Convert to fraction form
    661,646.80/992,470.20 = 409,128.40/x
  3. Step 3: Cross multiply
    661,646.80x = 992,470.20 × 409,128.40
  4. Step 4: Simplify right side
    661,646.80x = 406,047,744,973.68
  5. Step 5: Solve for x
    x = 406,047,744,973.68/661,646.80
  6. Step 6: Final answer
    x = 613,692.60

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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.