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Finding the Fourth Proportional to 709,102, 1,063,656.48 and 259,856

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Solution

The fourth proportional to 709,102, 1,063,656.48 and 259,856 is: 389,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,102 : 1,063,656.48 = 259,856 : x
  2. Step 2: Convert to fraction form
    709,102/1,063,656.48 = 259,856/x
  3. Step 3: Cross multiply
    709,102x = 1,063,656.48 × 259,856
  4. Step 4: Simplify right side
    709,102x = 276,397,518,266.88
  5. Step 5: Solve for x
    x = 276,397,518,266.88/709,102
  6. Step 6: Final answer
    x = 389,785.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.