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Finding the Fourth Proportional to 258,998.68, 388,342.14 and 101,301.40

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Solution

The fourth proportional to 258,998.68, 388,342.14 and 101,301.40 is: 151,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,998.68 : 388,342.14 = 101,301.40 : x
  2. Step 2: Convert to fraction form
    258,998.68/388,342.14 = 101,301.40/x
  3. Step 3: Cross multiply
    258,998.68x = 388,342.14 × 101,301.40
  4. Step 4: Simplify right side
    258,998.68x = 39,339,602,461.00
  5. Step 5: Solve for x
    x = 39,339,602,461.00/258,998.68
  6. Step 6: Final answer
    x = 151,891.13

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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.