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Finding the Fourth Proportional to 343,009.80, 514,514.94 and 143,221.32

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Solution

The fourth proportional to 343,009.80, 514,514.94 and 143,221.32 is: 214,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,009.80 : 514,514.94 = 143,221.32 : x
  2. Step 2: Convert to fraction form
    343,009.80/514,514.94 = 143,221.32/x
  3. Step 3: Cross multiply
    343,009.80x = 514,514.94 × 143,221.32
  4. Step 4: Simplify right side
    343,009.80x = 73,689,508,866.52
  5. Step 5: Solve for x
    x = 73,689,508,866.52/343,009.80
  6. Step 6: Final answer
    x = 214,832.08

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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.