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Finding the Fourth Proportional to 205,615,206.40, 308,926,694.40 and 154,596,870.40

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Solution

The fourth proportional to 205,615,206.40, 308,926,694.40 and 154,596,870.40 is: 232,274,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,615,206.40 : 308,926,694.40 = 154,596,870.40 : x
  2. Step 2: Convert to fraction form
    205,615,206.40/308,926,694.40 = 154,596,870.40/x
  3. Step 3: Cross multiply
    205,615,206.40x = 308,926,694.40 × 154,596,870.40
  4. Step 4: Simplify right side
    205,615,206.40x = 47,759,100,137,257,200
  5. Step 5: Solve for x
    x = 47,759,100,137,257,200/205,615,206.40
  6. Step 6: Final answer
    x = 232,274,163.83

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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.