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Finding the Fourth Proportional to 258,878.46, 388,308.45 and 90,398.14

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Solution

The fourth proportional to 258,878.46, 388,308.45 and 90,398.14 is: 135,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,878.46 : 388,308.45 = 90,398.14 : x
  2. Step 2: Convert to fraction form
    258,878.46/388,308.45 = 90,398.14/x
  3. Step 3: Cross multiply
    258,878.46x = 388,308.45 × 90,398.14
  4. Step 4: Simplify right side
    258,878.46x = 35,102,360,655.51
  5. Step 5: Solve for x
    x = 35,102,360,655.51/258,878.46
  6. Step 6: Final answer
    x = 135,593.98

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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.