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Finding the Fourth Proportional to 424,213.56, 634,935.72 and 311,864.04

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Solution

The fourth proportional to 424,213.56, 634,935.72 and 311,864.04 is: 466,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,213.56 : 634,935.72 = 311,864.04 : x
  2. Step 2: Convert to fraction form
    424,213.56/634,935.72 = 311,864.04/x
  3. Step 3: Cross multiply
    424,213.56x = 634,935.72 × 311,864.04
  4. Step 4: Simplify right side
    424,213.56x = 198,013,618,779.51
  5. Step 5: Solve for x
    x = 198,013,618,779.51/424,213.56
  6. Step 6: Final answer
    x = 466,778.15

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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.