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Finding the Fourth Proportional to 439,547.60, 659,321.40 and 408,054.80

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Solution

The fourth proportional to 439,547.60, 659,321.40 and 408,054.80 is: 612,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,547.60 : 659,321.40 = 408,054.80 : x
  2. Step 2: Convert to fraction form
    439,547.60/659,321.40 = 408,054.80/x
  3. Step 3: Cross multiply
    439,547.60x = 659,321.40 × 408,054.80
  4. Step 4: Simplify right side
    439,547.60x = 269,039,262,012.72
  5. Step 5: Solve for x
    x = 269,039,262,012.72/439,547.60
  6. Step 6: Final answer
    x = 612,082.20

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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.