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Finding the Fourth Proportional to 290,323,408.80, 434,981,228.40 and 188,034,794.40

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Solution

The fourth proportional to 290,323,408.80, 434,981,228.40 and 188,034,794.40 is: 281,725,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,323,408.80 : 434,981,228.40 = 188,034,794.40 : x
  2. Step 2: Convert to fraction form
    290,323,408.80/434,981,228.40 = 188,034,794.40/x
  3. Step 3: Cross multiply
    290,323,408.80x = 434,981,228.40 × 188,034,794.40
  4. Step 4: Simplify right side
    290,323,408.80x = 81,791,605,850,053,440
  5. Step 5: Solve for x
    x = 81,791,605,850,053,440/290,323,408.80
  6. Step 6: Final answer
    x = 281,725,838.74

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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.