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Finding the Fourth Proportional to 587,531.48, 810,798.58 and 319,259.48

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Solution

The fourth proportional to 587,531.48, 810,798.58 and 319,259.48 is: 440,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,531.48 : 810,798.58 = 319,259.48 : x
  2. Step 2: Convert to fraction form
    587,531.48/810,798.58 = 319,259.48/x
  3. Step 3: Cross multiply
    587,531.48x = 810,798.58 × 319,259.48
  4. Step 4: Simplify right side
    587,531.48x = 258,855,133,035.54
  5. Step 5: Solve for x
    x = 258,855,133,035.54/587,531.48
  6. Step 6: Final answer
    x = 440,580.87

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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.