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Finding the Fourth Proportional to 315,359.70, 472,261.95 and 209,606.10

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Solution

The fourth proportional to 315,359.70, 472,261.95 and 209,606.10 is: 313,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,359.70 : 472,261.95 = 209,606.10 : x
  2. Step 2: Convert to fraction form
    315,359.70/472,261.95 = 209,606.10/x
  3. Step 3: Cross multiply
    315,359.70x = 472,261.95 × 209,606.10
  4. Step 4: Simplify right side
    315,359.70x = 98,988,985,517.90
  5. Step 5: Solve for x
    x = 98,988,985,517.90/315,359.70
  6. Step 6: Final answer
    x = 313,892.31

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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.