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Finding the Fourth Proportional to 420,894.78, 580,827.51 and 229,903.26

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Solution

The fourth proportional to 420,894.78, 580,827.51 and 229,903.26 is: 317,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,894.78 : 580,827.51 = 229,903.26 : x
  2. Step 2: Convert to fraction form
    420,894.78/580,827.51 = 229,903.26/x
  3. Step 3: Cross multiply
    420,894.78x = 580,827.51 × 229,903.26
  4. Step 4: Simplify right side
    420,894.78x = 133,534,138,046.68
  5. Step 5: Solve for x
    x = 133,534,138,046.68/420,894.78
  6. Step 6: Final answer
    x = 317,262.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.