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Finding the Fourth Proportional to 978,443.80, 1,466,499.30 and 409,823.80

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Solution

The fourth proportional to 978,443.80, 1,466,499.30 and 409,823.80 is: 614,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,443.80 : 1,466,499.30 = 409,823.80 : x
  2. Step 2: Convert to fraction form
    978,443.80/1,466,499.30 = 409,823.80/x
  3. Step 3: Cross multiply
    978,443.80x = 1,466,499.30 × 409,823.80
  4. Step 4: Simplify right side
    978,443.80x = 601,006,315,823.34
  5. Step 5: Solve for x
    x = 601,006,315,823.34/978,443.80
  6. Step 6: Final answer
    x = 614,247.15

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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.