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Finding the Fourth Proportional to 258,462.24, 387,649.62 and 71,430

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Solution

The fourth proportional to 258,462.24, 387,649.62 and 71,430 is: 107,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,462.24 : 387,649.62 = 71,430 : x
  2. Step 2: Convert to fraction form
    258,462.24/387,649.62 = 71,430/x
  3. Step 3: Cross multiply
    258,462.24x = 387,649.62 × 71,430
  4. Step 4: Simplify right side
    258,462.24x = 27,689,812,356.60
  5. Step 5: Solve for x
    x = 27,689,812,356.60/258,462.24
  6. Step 6: Final answer
    x = 107,132.91

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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.