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Finding the Fourth Proportional to 663,967.20, 996,987.60 and 384,031.20

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Solution

The fourth proportional to 663,967.20, 996,987.60 and 384,031.20 is: 576,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,967.20 : 996,987.60 = 384,031.20 : x
  2. Step 2: Convert to fraction form
    663,967.20/996,987.60 = 384,031.20/x
  3. Step 3: Cross multiply
    663,967.20x = 996,987.60 × 384,031.20
  4. Step 4: Simplify right side
    663,967.20x = 382,874,344,413.12
  5. Step 5: Solve for x
    x = 382,874,344,413.12/663,967.20
  6. Step 6: Final answer
    x = 576,646.47

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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.