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Finding the Fourth Proportional to 287,893.33, 431,916.58 and 98,353.42

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Solution

The fourth proportional to 287,893.33, 431,916.58 and 98,353.42 is: 147,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,893.33 : 431,916.58 = 98,353.42 : x
  2. Step 2: Convert to fraction form
    287,893.33/431,916.58 = 98,353.42/x
  3. Step 3: Cross multiply
    287,893.33x = 431,916.58 × 98,353.42
  4. Step 4: Simplify right side
    287,893.33x = 42,480,472,305.94
  5. Step 5: Solve for x
    x = 42,480,472,305.94/287,893.33
  6. Step 6: Final answer
    x = 147,556.29

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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.