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Finding the Fourth Proportional to 312,281.38, 430,923.20 and 176,348.40

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Solution

The fourth proportional to 312,281.38, 430,923.20 and 176,348.40 is: 243,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,281.38 : 430,923.20 = 176,348.40 : x
  2. Step 2: Convert to fraction form
    312,281.38/430,923.20 = 176,348.40/x
  3. Step 3: Cross multiply
    312,281.38x = 430,923.20 × 176,348.40
  4. Step 4: Simplify right side
    312,281.38x = 75,992,614,688.26
  5. Step 5: Solve for x
    x = 75,992,614,688.26/312,281.38
  6. Step 6: Final answer
    x = 243,346.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.