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Finding the Fourth Proportional to 978,400.80, 1,466,434.80 and 409,780.80

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Solution

The fourth proportional to 978,400.80, 1,466,434.80 and 409,780.80 is: 614,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,400.80 : 1,466,434.80 = 409,780.80 : x
  2. Step 2: Convert to fraction form
    978,400.80/1,466,434.80 = 409,780.80/x
  3. Step 3: Cross multiply
    978,400.80x = 1,466,434.80 × 409,780.80
  4. Step 4: Simplify right side
    978,400.80x = 600,916,825,491.84
  5. Step 5: Solve for x
    x = 600,916,825,491.84/978,400.80
  6. Step 6: Final answer
    x = 614,182.68

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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.