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Finding the Fourth Proportional to 409,988.98, 565,785.64 and 228,696.20

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Solution

The fourth proportional to 409,988.98, 565,785.64 and 228,696.20 is: 315,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,988.98 : 565,785.64 = 228,696.20 : x
  2. Step 2: Convert to fraction form
    409,988.98/565,785.64 = 228,696.20/x
  3. Step 3: Cross multiply
    409,988.98x = 565,785.64 × 228,696.20
  4. Step 4: Simplify right side
    409,988.98x = 129,393,025,882.57
  5. Step 5: Solve for x
    x = 129,393,025,882.57/409,988.98
  6. Step 6: Final answer
    x = 315,601.23

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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.