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Finding the Fourth Proportional to 978,036.10, 1,466,685.60 and 409,456.40

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Solution

The fourth proportional to 978,036.10, 1,466,685.60 and 409,456.40 is: 614,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,036.10 : 1,466,685.60 = 409,456.40 : x
  2. Step 2: Convert to fraction form
    978,036.10/1,466,685.60 = 409,456.40/x
  3. Step 3: Cross multiply
    978,036.10x = 1,466,685.60 × 409,456.40
  4. Step 4: Simplify right side
    978,036.10x = 600,543,805,707.84
  5. Step 5: Solve for x
    x = 600,543,805,707.84/978,036.10
  6. Step 6: Final answer
    x = 614,030.31

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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.