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Finding the Fourth Proportional to 768,172.12, 1,152,279.24 and 207,205

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Solution

The fourth proportional to 768,172.12, 1,152,279.24 and 207,205 is: 310,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,172.12 : 1,152,279.24 = 207,205 : x
  2. Step 2: Convert to fraction form
    768,172.12/1,152,279.24 = 207,205/x
  3. Step 3: Cross multiply
    768,172.12x = 1,152,279.24 × 207,205
  4. Step 4: Simplify right side
    768,172.12x = 238,758,019,924.20
  5. Step 5: Solve for x
    x = 238,758,019,924.20/768,172.12
  6. Step 6: Final answer
    x = 310,813.18

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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.