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Finding the Fourth Proportional to 209,569.84, 314,354.86 and 69,328.46

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Solution

The fourth proportional to 209,569.84, 314,354.86 and 69,328.46 is: 103,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,569.84 : 314,354.86 = 69,328.46 : x
  2. Step 2: Convert to fraction form
    209,569.84/314,354.86 = 69,328.46/x
  3. Step 3: Cross multiply
    209,569.84x = 314,354.86 × 69,328.46
  4. Step 4: Simplify right side
    209,569.84x = 21,793,738,337.32
  5. Step 5: Solve for x
    x = 21,793,738,337.32/209,569.84
  6. Step 6: Final answer
    x = 103,992.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.