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Finding the Fourth Proportional to 313,532.85, 432,807.67 and 211,696.11

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Solution

The fourth proportional to 313,532.85, 432,807.67 and 211,696.11 is: 292,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,532.85 : 432,807.67 = 211,696.11 : x
  2. Step 2: Convert to fraction form
    313,532.85/432,807.67 = 211,696.11/x
  3. Step 3: Cross multiply
    313,532.85x = 432,807.67 × 211,696.11
  4. Step 4: Simplify right side
    313,532.85x = 91,623,700,381.78
  5. Step 5: Solve for x
    x = 91,623,700,381.78/313,532.85
  6. Step 6: Final answer
    x = 292,229.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.