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Finding the Fourth Proportional to 409,510.80, 565,116.24 and 228,239.28

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Solution

The fourth proportional to 409,510.80, 565,116.24 and 228,239.28 is: 314,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,510.80 : 565,116.24 = 228,239.28 : x
  2. Step 2: Convert to fraction form
    409,510.80/565,116.24 = 228,239.28/x
  3. Step 3: Cross multiply
    409,510.80x = 565,116.24 × 228,239.28
  4. Step 4: Simplify right side
    409,510.80x = 128,981,723,733.91
  5. Step 5: Solve for x
    x = 128,981,723,733.91/409,510.80
  6. Step 6: Final answer
    x = 314,965.38

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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.