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Finding the Fourth Proportional to 209,569.21, 289,211.90 and 148,424.94

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Solution

The fourth proportional to 209,569.21, 289,211.90 and 148,424.94 is: 204,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,569.21 : 289,211.90 = 148,424.94 : x
  2. Step 2: Convert to fraction form
    209,569.21/289,211.90 = 148,424.94/x
  3. Step 3: Cross multiply
    209,569.21x = 289,211.90 × 148,424.94
  4. Step 4: Simplify right side
    209,569.21x = 42,926,258,162.66
  5. Step 5: Solve for x
    x = 42,926,258,162.66/209,569.21
  6. Step 6: Final answer
    x = 204,830.94

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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.