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Finding the Fourth Proportional to 680,777.60, 1,021,204.80 and 207,478.40

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Solution

The fourth proportional to 680,777.60, 1,021,204.80 and 207,478.40 is: 311,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,777.60 : 1,021,204.80 = 207,478.40 : x
  2. Step 2: Convert to fraction form
    680,777.60/1,021,204.80 = 207,478.40/x
  3. Step 3: Cross multiply
    680,777.60x = 1,021,204.80 × 207,478.40
  4. Step 4: Simplify right side
    680,777.60x = 211,877,937,976.32
  5. Step 5: Solve for x
    x = 211,877,937,976.32/680,777.60
  6. Step 6: Final answer
    x = 311,229.30

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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.