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Finding the Fourth Proportional to 587,289.52, 810,437.88 and 319,011.76

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Solution

The fourth proportional to 587,289.52, 810,437.88 and 319,011.76 is: 440,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,289.52 : 810,437.88 = 319,011.76 : x
  2. Step 2: Convert to fraction form
    587,289.52/810,437.88 = 319,011.76/x
  3. Step 3: Cross multiply
    587,289.52x = 810,437.88 × 319,011.76
  4. Step 4: Simplify right side
    587,289.52x = 258,539,214,469.47
  5. Step 5: Solve for x
    x = 258,539,214,469.47/587,289.52
  6. Step 6: Final answer
    x = 440,224.46

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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.