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Finding the Fourth Proportional to 409,703, 565,392.58 and 228,426.36

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Solution

The fourth proportional to 409,703, 565,392.58 and 228,426.36 is: 315,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,703 : 565,392.58 = 228,426.36 : x
  2. Step 2: Convert to fraction form
    409,703/565,392.58 = 228,426.36/x
  3. Step 3: Cross multiply
    409,703x = 565,392.58 × 228,426.36
  4. Step 4: Simplify right side
    409,703x = 129,150,569,020.41
  5. Step 5: Solve for x
    x = 129,150,569,020.41/409,703
  6. Step 6: Final answer
    x = 315,229.74

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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.