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Finding the Fourth Proportional to 289,728.74, 399,814.55 and 160,672.52

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Solution

The fourth proportional to 289,728.74, 399,814.55 and 160,672.52 is: 221,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,728.74 : 399,814.55 = 160,672.52 : x
  2. Step 2: Convert to fraction form
    289,728.74/399,814.55 = 160,672.52/x
  3. Step 3: Cross multiply
    289,728.74x = 399,814.55 × 160,672.52
  4. Step 4: Simplify right side
    289,728.74x = 64,239,212,079.86
  5. Step 5: Solve for x
    x = 64,239,212,079.86/289,728.74
  6. Step 6: Final answer
    x = 221,721.92

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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.