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Finding the Fourth Proportional to 343,648.56, 515,673.72 and 143,952

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Solution

The fourth proportional to 343,648.56, 515,673.72 and 143,952 is: 216,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,648.56 : 515,673.72 = 143,952 : x
  2. Step 2: Convert to fraction form
    343,648.56/515,673.72 = 143,952/x
  3. Step 3: Cross multiply
    343,648.56x = 515,673.72 × 143,952
  4. Step 4: Simplify right side
    343,648.56x = 74,232,263,341.44
  5. Step 5: Solve for x
    x = 74,232,263,341.44/343,648.56
  6. Step 6: Final answer
    x = 216,012.15

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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.