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Finding the Fourth Proportional to 587,314.80, 810,301.65 and 329,154

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Solution

The fourth proportional to 587,314.80, 810,301.65 and 329,154 is: 454,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,314.80 : 810,301.65 = 329,154 : x
  2. Step 2: Convert to fraction form
    587,314.80/810,301.65 = 329,154/x
  3. Step 3: Cross multiply
    587,314.80x = 810,301.65 × 329,154
  4. Step 4: Simplify right side
    587,314.80x = 266,714,029,304.10
  5. Step 5: Solve for x
    x = 266,714,029,304.10/587,314.80
  6. Step 6: Final answer
    x = 454,124.48

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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.