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Finding the Fourth Proportional to 290,413,632.80, 435,620,449.20 and 137,358,624.80

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Solution

The fourth proportional to 290,413,632.80, 435,620,449.20 and 137,358,624.80 is: 206,037,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,413,632.80 : 435,620,449.20 = 137,358,624.80 : x
  2. Step 2: Convert to fraction form
    290,413,632.80/435,620,449.20 = 137,358,624.80/x
  3. Step 3: Cross multiply
    290,413,632.80x = 435,620,449.20 × 137,358,624.80
  4. Step 4: Simplify right side
    290,413,632.80x = 59,836,225,836,870,264
  5. Step 5: Solve for x
    x = 59,836,225,836,870,264/290,413,632.80
  6. Step 6: Final answer
    x = 206,037,937.20

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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.