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Finding the Fourth Proportional to 409,613.16, 565,285.32 and 228,326.39

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Solution

The fourth proportional to 409,613.16, 565,285.32 and 228,326.39 is: 315,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,613.16 : 565,285.32 = 228,326.39 : x
  2. Step 2: Convert to fraction form
    409,613.16/565,285.32 = 228,326.39/x
  3. Step 3: Cross multiply
    409,613.16x = 565,285.32 × 228,326.39
  4. Step 4: Simplify right side
    409,613.16x = 129,069,553,609.17
  5. Step 5: Solve for x
    x = 129,069,553,609.17/409,613.16
  6. Step 6: Final answer
    x = 315,101.09

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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.