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Finding the Fourth Proportional to 268,650,470.80, 402,303,859.80 and 214,902,758.80

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Solution

The fourth proportional to 268,650,470.80, 402,303,859.80 and 214,902,758.80 is: 321,816,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,650,470.80 : 402,303,859.80 = 214,902,758.80 : x
  2. Step 2: Convert to fraction form
    268,650,470.80/402,303,859.80 = 214,902,758.80/x
  3. Step 3: Cross multiply
    268,650,470.80x = 402,303,859.80 × 214,902,758.80
  4. Step 4: Simplify right side
    268,650,470.80x = 86,456,209,346,908,416
  5. Step 5: Solve for x
    x = 86,456,209,346,908,416/268,650,470.80
  6. Step 6: Final answer
    x = 321,816,705.14

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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.