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Finding the Fourth Proportional to 705,447.72, 972,984.42 and 490,480.20

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Solution

The fourth proportional to 705,447.72, 972,984.42 and 490,480.20 is: 676,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,447.72 : 972,984.42 = 490,480.20 : x
  2. Step 2: Convert to fraction form
    705,447.72/972,984.42 = 490,480.20/x
  3. Step 3: Cross multiply
    705,447.72x = 972,984.42 × 490,480.20
  4. Step 4: Simplify right side
    705,447.72x = 477,229,592,918.48
  5. Step 5: Solve for x
    x = 477,229,592,918.48/705,447.72
  6. Step 6: Final answer
    x = 676,491.79

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Double scale
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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.