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Finding the Fourth Proportional to 312,213.60, 430,748.60 and 176,231.52

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Solution

The fourth proportional to 312,213.60, 430,748.60 and 176,231.52 is: 243,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,213.60 : 430,748.60 = 176,231.52 : x
  2. Step 2: Convert to fraction form
    312,213.60/430,748.60 = 176,231.52/x
  3. Step 3: Cross multiply
    312,213.60x = 430,748.60 × 176,231.52
  4. Step 4: Simplify right side
    312,213.60x = 75,911,480,515.87
  5. Step 5: Solve for x
    x = 75,911,480,515.87/312,213.60
  6. Step 6: Final answer
    x = 243,139.57

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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.