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Finding the Fourth Proportional to 978,463.80, 1,466,529.30 and 409,843.80

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Solution

The fourth proportional to 978,463.80, 1,466,529.30 and 409,843.80 is: 614,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,463.80 : 1,466,529.30 = 409,843.80 : x
  2. Step 2: Convert to fraction form
    978,463.80/1,466,529.30 = 409,843.80/x
  3. Step 3: Cross multiply
    978,463.80x = 1,466,529.30 × 409,843.80
  4. Step 4: Simplify right side
    978,463.80x = 601,047,941,123.34
  5. Step 5: Solve for x
    x = 601,047,941,123.34/978,463.80
  6. Step 6: Final answer
    x = 614,277.14

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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.