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Finding the Fourth Proportional to 312,129.76, 430,738.56 and 176,192.32

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Solution

The fourth proportional to 312,129.76, 430,738.56 and 176,192.32 is: 243,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,129.76 : 430,738.56 = 176,192.32 : x
  2. Step 2: Convert to fraction form
    312,129.76/430,738.56 = 176,192.32/x
  3. Step 3: Cross multiply
    312,129.76x = 430,738.56 × 176,192.32
  4. Step 4: Simplify right side
    312,129.76x = 75,892,826,199.86
  5. Step 5: Solve for x
    x = 75,892,826,199.86/312,129.76
  6. Step 6: Final answer
    x = 243,145.11

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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.