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Finding the Fourth Proportional to 978,016.25, 1,466,655.79 and 409,436.62

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Solution

The fourth proportional to 978,016.25, 1,466,655.79 and 409,436.62 is: 614,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,016.25 : 1,466,655.79 = 409,436.62 : x
  2. Step 2: Convert to fraction form
    978,016.25/1,466,655.79 = 409,436.62/x
  3. Step 3: Cross multiply
    978,016.25x = 1,466,655.79 × 409,436.62
  4. Step 4: Simplify right side
    978,016.25x = 600,502,582,027.75
  5. Step 5: Solve for x
    x = 600,502,582,027.75/978,016.25
  6. Step 6: Final answer
    x = 614,000.62

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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.