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Finding the Fourth Proportional to 288,279.63, 432,419.56 and 77,917.57

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Solution

The fourth proportional to 288,279.63, 432,419.56 and 77,917.57 is: 116,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,279.63 : 432,419.56 = 77,917.57 : x
  2. Step 2: Convert to fraction form
    288,279.63/432,419.56 = 77,917.57/x
  3. Step 3: Cross multiply
    288,279.63x = 432,419.56 × 77,917.57
  4. Step 4: Simplify right side
    288,279.63x = 33,693,081,714.29
  5. Step 5: Solve for x
    x = 33,693,081,714.29/288,279.63
  6. Step 6: Final answer
    x = 116,876.39

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1.5x scale

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.