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Finding the Fourth Proportional to 343,745.32, 515,642.82 and 143,864.60

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Solution

The fourth proportional to 343,745.32, 515,642.82 and 143,864.60 is: 215,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,745.32 : 515,642.82 = 143,864.60 : x
  2. Step 2: Convert to fraction form
    343,745.32/515,642.82 = 143,864.60/x
  3. Step 3: Cross multiply
    343,745.32x = 515,642.82 × 143,864.60
  4. Step 4: Simplify right side
    343,745.32x = 74,182,748,042.17
  5. Step 5: Solve for x
    x = 74,182,748,042.17/343,745.32
  6. Step 6: Final answer
    x = 215,807.30

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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.