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Finding the Fourth Proportional to 657,894.72, 986,966.73 and 208,728.66

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Solution

The fourth proportional to 657,894.72, 986,966.73 and 208,728.66 is: 313,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,894.72 : 986,966.73 = 208,728.66 : x
  2. Step 2: Convert to fraction form
    657,894.72/986,966.73 = 208,728.66/x
  3. Step 3: Cross multiply
    657,894.72x = 986,966.73 × 208,728.66
  4. Step 4: Simplify right side
    657,894.72x = 206,008,243,017.48
  5. Step 5: Solve for x
    x = 206,008,243,017.48/657,894.72
  6. Step 6: Final answer
    x = 313,132.54

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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.