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Finding the Fourth Proportional to 978,037.10, 1,466,687.10 and 409,457.40

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Solution

The fourth proportional to 978,037.10, 1,466,687.10 and 409,457.40 is: 614,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,037.10 : 1,466,687.10 = 409,457.40 : x
  2. Step 2: Convert to fraction form
    978,037.10/1,466,687.10 = 409,457.40/x
  3. Step 3: Cross multiply
    978,037.10x = 1,466,687.10 × 409,457.40
  4. Step 4: Simplify right side
    978,037.10x = 600,545,886,579.54
  5. Step 5: Solve for x
    x = 600,545,886,579.54/978,037.10
  6. Step 6: Final answer
    x = 614,031.81

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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.