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Finding the Fourth Proportional to 288,243, 397,815.03 and 160,925.58

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Solution

The fourth proportional to 288,243, 397,815.03 and 160,925.58 is: 222,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,243 : 397,815.03 = 160,925.58 : x
  2. Step 2: Convert to fraction form
    288,243/397,815.03 = 160,925.58/x
  3. Step 3: Cross multiply
    288,243x = 397,815.03 × 160,925.58
  4. Step 4: Simplify right side
    288,243x = 64,018,614,435.47
  5. Step 5: Solve for x
    x = 64,018,614,435.47/288,243
  6. Step 6: Final answer
    x = 222,099.46

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1.5x scale

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.