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Finding the Fourth Proportional to 978,170.46, 1,466,952.57 and 472,417.02

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Solution

The fourth proportional to 978,170.46, 1,466,952.57 and 472,417.02 is: 708,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,170.46 : 1,466,952.57 = 472,417.02 : x
  2. Step 2: Convert to fraction form
    978,170.46/1,466,952.57 = 472,417.02/x
  3. Step 3: Cross multiply
    978,170.46x = 1,466,952.57 × 472,417.02
  4. Step 4: Simplify right side
    978,170.46x = 693,013,361,600.74
  5. Step 5: Solve for x
    x = 693,013,361,600.74/978,170.46
  6. Step 6: Final answer
    x = 708,479.14

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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.