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Finding the Fourth Proportional to 309,934.70, 464,902.05 and 209,551.40

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Solution

The fourth proportional to 309,934.70, 464,902.05 and 209,551.40 is: 314,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,934.70 : 464,902.05 = 209,551.40 : x
  2. Step 2: Convert to fraction form
    309,934.70/464,902.05 = 209,551.40/x
  3. Step 3: Cross multiply
    309,934.70x = 464,902.05 × 209,551.40
  4. Step 4: Simplify right side
    309,934.70x = 97,420,875,440.37
  5. Step 5: Solve for x
    x = 97,420,875,440.37/309,934.70
  6. Step 6: Final answer
    x = 314,327.10

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1.5x scale

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.