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Finding the Fourth Proportional to 647,042.40, 970,390.80 and 197,762.40

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Solution

The fourth proportional to 647,042.40, 970,390.80 and 197,762.40 is: 296,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,042.40 : 970,390.80 = 197,762.40 : x
  2. Step 2: Convert to fraction form
    647,042.40/970,390.80 = 197,762.40/x
  3. Step 3: Cross multiply
    647,042.40x = 970,390.80 × 197,762.40
  4. Step 4: Simplify right side
    647,042.40x = 191,906,813,545.92
  5. Step 5: Solve for x
    x = 191,906,813,545.92/647,042.40
  6. Step 6: Final answer
    x = 296,590.79

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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.