Home / 680,005.40-1,020,008.10-409,400.60

Finding the Fourth Proportional to 680,005.40, 1,020,008.10 and 409,400.60

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Solution

The fourth proportional to 680,005.40, 1,020,008.10 and 409,400.60 is: 614,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,005.40 : 1,020,008.10 = 409,400.60 : x
  2. Step 2: Convert to fraction form
    680,005.40/1,020,008.10 = 409,400.60/x
  3. Step 3: Cross multiply
    680,005.40x = 1,020,008.10 × 409,400.60
  4. Step 4: Simplify right side
    680,005.40x = 417,591,928,144.86
  5. Step 5: Solve for x
    x = 417,591,928,144.86/680,005.40
  6. Step 6: Final answer
    x = 614,100.90

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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.