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Finding the Fourth Proportional to 284,902.01, 393,167.37 and 155,837.93

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Solution

The fourth proportional to 284,902.01, 393,167.37 and 155,837.93 is: 215,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,902.01 : 393,167.37 = 155,837.93 : x
  2. Step 2: Convert to fraction form
    284,902.01/393,167.37 = 155,837.93/x
  3. Step 3: Cross multiply
    284,902.01x = 393,167.37 × 155,837.93
  4. Step 4: Simplify right side
    284,902.01x = 61,270,386,826.31
  5. Step 5: Solve for x
    x = 61,270,386,826.31/284,902.01
  6. Step 6: Final answer
    x = 215,057.76

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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.