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Finding the Fourth Proportional to 309,898.70, 464,848.05 and 209,515.40

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Solution

The fourth proportional to 309,898.70, 464,848.05 and 209,515.40 is: 314,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,898.70 : 464,848.05 = 209,515.40 : x
  2. Step 2: Convert to fraction form
    309,898.70/464,848.05 = 209,515.40/x
  3. Step 3: Cross multiply
    309,898.70x = 464,848.05 × 209,515.40
  4. Step 4: Simplify right side
    309,898.70x = 97,392,825,134.97
  5. Step 5: Solve for x
    x = 97,392,825,134.97/309,898.70
  6. Step 6: Final answer
    x = 314,273.10

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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.