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Finding the Fourth Proportional to 431,688.32, 647,376.96 and 182,389.76

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Solution

The fourth proportional to 431,688.32, 647,376.96 and 182,389.76 is: 273,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,688.32 : 647,376.96 = 182,389.76 : x
  2. Step 2: Convert to fraction form
    431,688.32/647,376.96 = 182,389.76/x
  3. Step 3: Cross multiply
    431,688.32x = 647,376.96 × 182,389.76
  4. Step 4: Simplify right side
    431,688.32x = 118,074,928,363.93
  5. Step 5: Solve for x
    x = 118,074,928,363.93/431,688.32
  6. Step 6: Final answer
    x = 273,518.93

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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.