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Finding the Fourth Proportional to 587,285.77, 810,432.71 and 319,008.01

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Solution

The fourth proportional to 587,285.77, 810,432.71 and 319,008.01 is: 440,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,285.77 : 810,432.71 = 319,008.01 : x
  2. Step 2: Convert to fraction form
    587,285.77/810,432.71 = 319,008.01/x
  3. Step 3: Cross multiply
    587,285.77x = 810,432.71 × 319,008.01
  4. Step 4: Simplify right side
    587,285.77x = 258,534,524,460.97
  5. Step 5: Solve for x
    x = 258,534,524,460.97/587,285.77
  6. Step 6: Final answer
    x = 440,219.29

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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.