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Finding the Fourth Proportional to 680,871.20, 1,021,306.80 and 470,919.20

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Solution

The fourth proportional to 680,871.20, 1,021,306.80 and 470,919.20 is: 706,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,871.20 : 1,021,306.80 = 470,919.20 : x
  2. Step 2: Convert to fraction form
    680,871.20/1,021,306.80 = 470,919.20/x
  3. Step 3: Cross multiply
    680,871.20x = 1,021,306.80 × 470,919.20
  4. Step 4: Simplify right side
    680,871.20x = 480,952,981,210.56
  5. Step 5: Solve for x
    x = 480,952,981,210.56/680,871.20
  6. Step 6: Final answer
    x = 706,378.80

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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.