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Finding the Fourth Proportional to 381,689.20, 572,533.80 and 312,569.20

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Solution

The fourth proportional to 381,689.20, 572,533.80 and 312,569.20 is: 468,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,689.20 : 572,533.80 = 312,569.20 : x
  2. Step 2: Convert to fraction form
    381,689.20/572,533.80 = 312,569.20/x
  3. Step 3: Cross multiply
    381,689.20x = 572,533.80 × 312,569.20
  4. Step 4: Simplify right side
    381,689.20x = 178,956,431,838.96
  5. Step 5: Solve for x
    x = 178,956,431,838.96/381,689.20
  6. Step 6: Final answer
    x = 468,853.80

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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.