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Finding the Fourth Proportional to 587,497, 810,750.72 and 319,225

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Solution

The fourth proportional to 587,497, 810,750.72 and 319,225 is: 440,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,497 : 810,750.72 = 319,225 : x
  2. Step 2: Convert to fraction form
    587,497/810,750.72 = 319,225/x
  3. Step 3: Cross multiply
    587,497x = 810,750.72 × 319,225
  4. Step 4: Simplify right side
    587,497x = 258,811,898,592
  5. Step 5: Solve for x
    x = 258,811,898,592/587,497
  6. Step 6: Final answer
    x = 440,533.14

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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.