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Finding the Fourth Proportional to 233,305.70, 349,302.45 and 209,686.10

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Solution

The fourth proportional to 233,305.70, 349,302.45 and 209,686.10 is: 313,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,305.70 : 349,302.45 = 209,686.10 : x
  2. Step 2: Convert to fraction form
    233,305.70/349,302.45 = 209,686.10/x
  3. Step 3: Cross multiply
    233,305.70x = 349,302.45 × 209,686.10
  4. Step 4: Simplify right side
    233,305.70x = 73,243,868,460.95
  5. Step 5: Solve for x
    x = 73,243,868,460.95/233,305.70
  6. Step 6: Final answer
    x = 313,939.47

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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.