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Finding the Fourth Proportional to 486,095.70, 729,143.55 and 409,113.30

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Solution

The fourth proportional to 486,095.70, 729,143.55 and 409,113.30 is: 613,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,095.70 : 729,143.55 = 409,113.30 : x
  2. Step 2: Convert to fraction form
    486,095.70/729,143.55 = 409,113.30/x
  3. Step 3: Cross multiply
    486,095.70x = 729,143.55 × 409,113.30
  4. Step 4: Simplify right side
    486,095.70x = 298,302,323,914.22
  5. Step 5: Solve for x
    x = 298,302,323,914.22/486,095.70
  6. Step 6: Final answer
    x = 613,669.95

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Similar ratio
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1.5x scale

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.