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Finding the Fourth Proportional to 258,611.10, 387,916.65 and 199,562.10

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Solution

The fourth proportional to 258,611.10, 387,916.65 and 199,562.10 is: 299,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,611.10 : 387,916.65 = 199,562.10 : x
  2. Step 2: Convert to fraction form
    258,611.10/387,916.65 = 199,562.10/x
  3. Step 3: Cross multiply
    258,611.10x = 387,916.65 × 199,562.10
  4. Step 4: Simplify right side
    258,611.10x = 77,413,461,298.97
  5. Step 5: Solve for x
    x = 77,413,461,298.97/258,611.10
  6. Step 6: Final answer
    x = 299,343.15

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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.