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Finding the Fourth Proportional to 329,774.54, 495,492.19 and 209,886.62

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Solution

The fourth proportional to 329,774.54, 495,492.19 and 209,886.62 is: 315,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,774.54 : 495,492.19 = 209,886.62 : x
  2. Step 2: Convert to fraction form
    329,774.54/495,492.19 = 209,886.62/x
  3. Step 3: Cross multiply
    329,774.54x = 495,492.19 × 209,886.62
  4. Step 4: Simplify right side
    329,774.54x = 103,997,179,386.89
  5. Step 5: Solve for x
    x = 103,997,179,386.89/329,774.54
  6. Step 6: Final answer
    x = 315,358.42

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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.