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Finding the Fourth Proportional to 288,065.52, 397,530.86 and 160,741.49

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Solution

The fourth proportional to 288,065.52, 397,530.86 and 160,741.49 is: 221,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,065.52 : 397,530.86 = 160,741.49 : x
  2. Step 2: Convert to fraction form
    288,065.52/397,530.86 = 160,741.49/x
  3. Step 3: Cross multiply
    288,065.52x = 397,530.86 × 160,741.49
  4. Step 4: Simplify right side
    288,065.52x = 63,899,699,966.02
  5. Step 5: Solve for x
    x = 63,899,699,966.02/288,065.52
  6. Step 6: Final answer
    x = 221,823.49

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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.