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Finding the Fourth Proportional to 315,785.40, 472,986.90 and 274,313.40

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Solution

The fourth proportional to 315,785.40, 472,986.90 and 274,313.40 is: 410,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,785.40 : 472,986.90 = 274,313.40 : x
  2. Step 2: Convert to fraction form
    315,785.40/472,986.90 = 274,313.40/x
  3. Step 3: Cross multiply
    315,785.40x = 472,986.90 × 274,313.40
  4. Step 4: Simplify right side
    315,785.40x = 129,746,644,694.46
  5. Step 5: Solve for x
    x = 129,746,644,694.46/315,785.40
  6. Step 6: Final answer
    x = 410,869.68

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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.