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Finding the Fourth Proportional to 680,924.40, 1,021,386.60 and 442,978.80

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Solution

The fourth proportional to 680,924.40, 1,021,386.60 and 442,978.80 is: 664,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,924.40 : 1,021,386.60 = 442,978.80 : x
  2. Step 2: Convert to fraction form
    680,924.40/1,021,386.60 = 442,978.80/x
  3. Step 3: Cross multiply
    680,924.40x = 1,021,386.60 × 442,978.80
  4. Step 4: Simplify right side
    680,924.40x = 452,452,610,404.08
  5. Step 5: Solve for x
    x = 452,452,610,404.08/680,924.40
  6. Step 6: Final answer
    x = 664,468.20

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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.