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Finding the Fourth Proportional to 309,706.82, 464,246.49 and 209,877.11

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Solution

The fourth proportional to 309,706.82, 464,246.49 and 209,877.11 is: 314,603.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,706.82 : 464,246.49 = 209,877.11 : x
  2. Step 2: Convert to fraction form
    309,706.82/464,246.49 = 209,877.11/x
  3. Step 3: Cross multiply
    309,706.82x = 464,246.49 × 209,877.11
  4. Step 4: Simplify right side
    309,706.82x = 97,434,711,648.84
  5. Step 5: Solve for x
    x = 97,434,711,648.84/309,706.82
  6. Step 6: Final answer
    x = 314,603.05

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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.