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Finding the Fourth Proportional to 338,450.72, 466,763.89 and 209,368.69

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Solution

The fourth proportional to 338,450.72, 466,763.89 and 209,368.69 is: 288,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,450.72 : 466,763.89 = 209,368.69 : x
  2. Step 2: Convert to fraction form
    338,450.72/466,763.89 = 209,368.69/x
  3. Step 3: Cross multiply
    338,450.72x = 466,763.89 × 209,368.69
  4. Step 4: Simplify right side
    338,450.72x = 97,725,742,823.30
  5. Step 5: Solve for x
    x = 97,725,742,823.30/338,450.72
  6. Step 6: Final answer
    x = 288,744.38

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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.