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Finding the Fourth Proportional to 408,403.76, 563,514.60 and 238,605.08

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Solution

The fourth proportional to 408,403.76, 563,514.60 and 238,605.08 is: 329,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,403.76 : 563,514.60 = 238,605.08 : x
  2. Step 2: Convert to fraction form
    408,403.76/563,514.60 = 238,605.08/x
  3. Step 3: Cross multiply
    408,403.76x = 563,514.60 × 238,605.08
  4. Step 4: Simplify right side
    408,403.76x = 134,457,446,214.17
  5. Step 5: Solve for x
    x = 134,457,446,214.17/408,403.76
  6. Step 6: Final answer
    x = 329,226.76

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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.