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Finding the Fourth Proportional to 409,616.20, 565,273.02 and 228,339.64

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Solution

The fourth proportional to 409,616.20, 565,273.02 and 228,339.64 is: 315,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,616.20 : 565,273.02 = 228,339.64 : x
  2. Step 2: Convert to fraction form
    409,616.20/565,273.02 = 228,339.64/x
  3. Step 3: Cross multiply
    409,616.20x = 565,273.02 × 228,339.64
  4. Step 4: Simplify right side
    409,616.20x = 129,074,237,888.51
  5. Step 5: Solve for x
    x = 129,074,237,888.51/409,616.20
  6. Step 6: Final answer
    x = 315,110.19

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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.