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Finding the Fourth Proportional to 486,994.80, 730,492.20 and 412,345.20

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Solution

The fourth proportional to 486,994.80, 730,492.20 and 412,345.20 is: 618,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,994.80 : 730,492.20 = 412,345.20 : x
  2. Step 2: Convert to fraction form
    486,994.80/730,492.20 = 412,345.20/x
  3. Step 3: Cross multiply
    486,994.80x = 730,492.20 × 412,345.20
  4. Step 4: Simplify right side
    486,994.80x = 301,214,952,307.44
  5. Step 5: Solve for x
    x = 301,214,952,307.44/486,994.80
  6. Step 6: Final answer
    x = 618,517.80

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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.