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Finding the Fourth Proportional to 311,956.79, 467,916.71 and 87,312.24

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Solution

The fourth proportional to 311,956.79, 467,916.71 and 87,312.24 is: 130,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,956.79 : 467,916.71 = 87,312.24 : x
  2. Step 2: Convert to fraction form
    311,956.79/467,916.71 = 87,312.24/x
  3. Step 3: Cross multiply
    311,956.79x = 467,916.71 × 87,312.24
  4. Step 4: Simplify right side
    311,956.79x = 40,854,855,646.97
  5. Step 5: Solve for x
    x = 40,854,855,646.97/311,956.79
  6. Step 6: Final answer
    x = 130,963.19

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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.