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Finding the Fourth Proportional to 587,287.52, 810,435.12 and 319,009.76

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Solution

The fourth proportional to 587,287.52, 810,435.12 and 319,009.76 is: 440,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,287.52 : 810,435.12 = 319,009.76 : x
  2. Step 2: Convert to fraction form
    587,287.52/810,435.12 = 319,009.76/x
  3. Step 3: Cross multiply
    587,287.52x = 810,435.12 × 319,009.76
  4. Step 4: Simplify right side
    587,287.52x = 258,536,713,126.77
  5. Step 5: Solve for x
    x = 258,536,713,126.77/587,287.52
  6. Step 6: Final answer
    x = 440,221.70

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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.