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Finding the Fourth Proportional to 387,281.51, 581,020.82 and 227,492.57

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Solution

The fourth proportional to 387,281.51, 581,020.82 and 227,492.57 is: 341,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,281.51 : 581,020.82 = 227,492.57 : x
  2. Step 2: Convert to fraction form
    387,281.51/581,020.82 = 227,492.57/x
  3. Step 3: Cross multiply
    387,281.51x = 581,020.82 × 227,492.57
  4. Step 4: Simplify right side
    387,281.51x = 132,177,919,565.31
  5. Step 5: Solve for x
    x = 132,177,919,565.31/387,281.51
  6. Step 6: Final answer
    x = 341,296.75

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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.