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Finding the Fourth Proportional to 830,143.20, 1,245,214.80 and 830,143.20

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Solution

The fourth proportional to 830,143.20, 1,245,214.80 and 830,143.20 is: 1,245,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,143.20 : 1,245,214.80 = 830,143.20 : x
  2. Step 2: Convert to fraction form
    830,143.20/1,245,214.80 = 830,143.20/x
  3. Step 3: Cross multiply
    830,143.20x = 1,245,214.80 × 830,143.20
  4. Step 4: Simplify right side
    830,143.20x = 1,033,706,598,759.36
  5. Step 5: Solve for x
    x = 1,033,706,598,759.36/830,143.20
  6. Step 6: Final answer
    x = 1,245,214.80

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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.