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Finding the Fourth Proportional to 768,263.20, 1,152,394.80 and 207,296.80

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Solution

The fourth proportional to 768,263.20, 1,152,394.80 and 207,296.80 is: 310,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,263.20 : 1,152,394.80 = 207,296.80 : x
  2. Step 2: Convert to fraction form
    768,263.20/1,152,394.80 = 207,296.80/x
  3. Step 3: Cross multiply
    768,263.20x = 1,152,394.80 × 207,296.80
  4. Step 4: Simplify right side
    768,263.20x = 238,887,754,376.64
  5. Step 5: Solve for x
    x = 238,887,754,376.64/768,263.20
  6. Step 6: Final answer
    x = 310,945.20

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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.