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Finding the Fourth Proportional to 587,658.24, 810,965.52 and 319,386.24

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Solution

The fourth proportional to 587,658.24, 810,965.52 and 319,386.24 is: 440,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,658.24 : 810,965.52 = 319,386.24 : x
  2. Step 2: Convert to fraction form
    587,658.24/810,965.52 = 319,386.24/x
  3. Step 3: Cross multiply
    587,658.24x = 810,965.52 × 319,386.24
  4. Step 4: Simplify right side
    587,658.24x = 259,011,228,202.45
  5. Step 5: Solve for x
    x = 259,011,228,202.45/587,658.24
  6. Step 6: Final answer
    x = 440,751.46

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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.