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Finding the Fourth Proportional to 209,394.84, 288,972.54 and 116,263.20

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Solution

The fourth proportional to 209,394.84, 288,972.54 and 116,263.20 is: 160,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,394.84 : 288,972.54 = 116,263.20 : x
  2. Step 2: Convert to fraction form
    209,394.84/288,972.54 = 116,263.20/x
  3. Step 3: Cross multiply
    209,394.84x = 288,972.54 × 116,263.20
  4. Step 4: Simplify right side
    209,394.84x = 33,596,872,212.53
  5. Step 5: Solve for x
    x = 33,596,872,212.53/209,394.84
  6. Step 6: Final answer
    x = 160,447.47

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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.