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Finding the Fourth Proportional to 682,417.80, 1,024,469.10 and 429,697.80

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Solution

The fourth proportional to 682,417.80, 1,024,469.10 and 429,697.80 is: 645,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,417.80 : 1,024,469.10 = 429,697.80 : x
  2. Step 2: Convert to fraction form
    682,417.80/1,024,469.10 = 429,697.80/x
  3. Step 3: Cross multiply
    682,417.80x = 1,024,469.10 × 429,697.80
  4. Step 4: Simplify right side
    682,417.80x = 440,212,118,437.98
  5. Step 5: Solve for x
    x = 440,212,118,437.98/682,417.80
  6. Step 6: Final answer
    x = 645,077.13

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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.