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Finding the Fourth Proportional to 830,297, 1,245,446.70 and 231,259.88

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Solution

The fourth proportional to 830,297, 1,245,446.70 and 231,259.88 is: 346,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,297 : 1,245,446.70 = 231,259.88 : x
  2. Step 2: Convert to fraction form
    830,297/1,245,446.70 = 231,259.88/x
  3. Step 3: Cross multiply
    830,297x = 1,245,446.70 × 231,259.88
  4. Step 4: Simplify right side
    830,297x = 288,021,854,388.40
  5. Step 5: Solve for x
    x = 288,021,854,388.40/830,297
  6. Step 6: Final answer
    x = 346,890.15

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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.