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Finding the Fourth Proportional to 342,678.60, 514,203.84 and 143,016.39

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Solution

The fourth proportional to 342,678.60, 514,203.84 and 143,016.39 is: 214,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,678.60 : 514,203.84 = 143,016.39 : x
  2. Step 2: Convert to fraction form
    342,678.60/514,203.84 = 143,016.39/x
  3. Step 3: Cross multiply
    342,678.60x = 514,203.84 × 143,016.39
  4. Step 4: Simplify right side
    342,678.60x = 73,539,576,920.94
  5. Step 5: Solve for x
    x = 73,539,576,920.94/342,678.60
  6. Step 6: Final answer
    x = 214,602.19

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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.