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Finding the Fourth Proportional to 408,147.80, 611,711.40 and 208,547.60

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Solution

The fourth proportional to 408,147.80, 611,711.40 and 208,547.60 is: 312,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,147.80 : 611,711.40 = 208,547.60 : x
  2. Step 2: Convert to fraction form
    408,147.80/611,711.40 = 208,547.60/x
  3. Step 3: Cross multiply
    408,147.80x = 611,711.40 × 208,547.60
  4. Step 4: Simplify right side
    408,147.80x = 127,570,944,362.64
  5. Step 5: Solve for x
    x = 127,570,944,362.64/408,147.80
  6. Step 6: Final answer
    x = 312,560.66

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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.