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Finding the Fourth Proportional to 827,408.40, 1,240,229.70 and 471,656.40

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Solution

The fourth proportional to 827,408.40, 1,240,229.70 and 471,656.40 is: 706,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,408.40 : 1,240,229.70 = 471,656.40 : x
  2. Step 2: Convert to fraction form
    827,408.40/1,240,229.70 = 471,656.40/x
  3. Step 3: Cross multiply
    827,408.40x = 1,240,229.70 × 471,656.40
  4. Step 4: Simplify right side
    827,408.40x = 584,962,275,475.08
  5. Step 5: Solve for x
    x = 584,962,275,475.08/827,408.40
  6. Step 6: Final answer
    x = 706,981.31

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Double scale
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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.