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Finding the Fourth Proportional to 312,097.80, 430,695.06 and 168,857.76

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Solution

The fourth proportional to 312,097.80, 430,695.06 and 168,857.76 is: 233,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,097.80 : 430,695.06 = 168,857.76 : x
  2. Step 2: Convert to fraction form
    312,097.80/430,695.06 = 168,857.76/x
  3. Step 3: Cross multiply
    312,097.80x = 430,695.06 × 168,857.76
  4. Step 4: Simplify right side
    312,097.80x = 72,726,203,074.67
  5. Step 5: Solve for x
    x = 72,726,203,074.67/312,097.80
  6. Step 6: Final answer
    x = 233,023.76

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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.