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Finding the Fourth Proportional to 277,095.48, 415,514.04 and 143,940

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Solution

The fourth proportional to 277,095.48, 415,514.04 and 143,940 is: 215,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,095.48 : 415,514.04 = 143,940 : x
  2. Step 2: Convert to fraction form
    277,095.48/415,514.04 = 143,940/x
  3. Step 3: Cross multiply
    277,095.48x = 415,514.04 × 143,940
  4. Step 4: Simplify right side
    277,095.48x = 59,809,090,917.60
  5. Step 5: Solve for x
    x = 59,809,090,917.60/277,095.48
  6. Step 6: Final answer
    x = 215,842.90

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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.