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Finding the Fourth Proportional to 387,801.42, 534,991.02 and 226,584

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Solution

The fourth proportional to 387,801.42, 534,991.02 and 226,584 is: 312,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,801.42 : 534,991.02 = 226,584 : x
  2. Step 2: Convert to fraction form
    387,801.42/534,991.02 = 226,584/x
  3. Step 3: Cross multiply
    387,801.42x = 534,991.02 × 226,584
  4. Step 4: Simplify right side
    387,801.42x = 121,220,405,275.68
  5. Step 5: Solve for x
    x = 121,220,405,275.68/387,801.42
  6. Step 6: Final answer
    x = 312,583.71

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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.