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Finding the Fourth Proportional to 647,293.33, 970,784.08 and 198,018.08

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Solution

The fourth proportional to 647,293.33, 970,784.08 and 198,018.08 is: 296,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,293.33 : 970,784.08 = 198,018.08 : x
  2. Step 2: Convert to fraction form
    647,293.33/970,784.08 = 198,018.08/x
  3. Step 3: Cross multiply
    647,293.33x = 970,784.08 × 198,018.08
  4. Step 4: Simplify right side
    647,293.33x = 192,232,803,089.84
  5. Step 5: Solve for x
    x = 192,232,803,089.84/647,293.33
  6. Step 6: Final answer
    x = 296,979.43

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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.