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Finding the Fourth Proportional to 309,937.70, 464,906.55 and 209,554.40

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Solution

The fourth proportional to 309,937.70, 464,906.55 and 209,554.40 is: 314,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,937.70 : 464,906.55 = 209,554.40 : x
  2. Step 2: Convert to fraction form
    309,937.70/464,906.55 = 209,554.40/x
  3. Step 3: Cross multiply
    309,937.70x = 464,906.55 × 209,554.40
  4. Step 4: Simplify right side
    309,937.70x = 97,423,213,141.32
  5. Step 5: Solve for x
    x = 97,423,213,141.32/309,937.70
  6. Step 6: Final answer
    x = 314,331.60

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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.