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Finding the Fourth Proportional to 288,087.82, 397,560.93 and 160,764.10

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Solution

The fourth proportional to 288,087.82, 397,560.93 and 160,764.10 is: 221,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,087.82 : 397,560.93 = 160,764.10 : x
  2. Step 2: Convert to fraction form
    288,087.82/397,560.93 = 160,764.10/x
  3. Step 3: Cross multiply
    288,087.82x = 397,560.93 × 160,764.10
  4. Step 4: Simplify right side
    288,087.82x = 63,913,525,106.61
  5. Step 5: Solve for x
    x = 63,913,525,106.61/288,087.82
  6. Step 6: Final answer
    x = 221,854.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.