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Finding the Fourth Proportional to 587,530.98, 810,797.89 and 319,258.98

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Solution

The fourth proportional to 587,530.98, 810,797.89 and 319,258.98 is: 440,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,530.98 : 810,797.89 = 319,258.98 : x
  2. Step 2: Convert to fraction form
    587,530.98/810,797.89 = 319,258.98/x
  3. Step 3: Cross multiply
    587,530.98x = 810,797.89 × 319,258.98
  4. Step 4: Simplify right side
    587,530.98x = 258,854,507,347.55
  5. Step 5: Solve for x
    x = 258,854,507,347.55/587,530.98
  6. Step 6: Final answer
    x = 440,580.18

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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.