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Finding the Fourth Proportional to 406,348.99, 561,138.54 and 304,197.10

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Solution

The fourth proportional to 406,348.99, 561,138.54 and 304,197.10 is: 420,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,348.99 : 561,138.54 = 304,197.10 : x
  2. Step 2: Convert to fraction form
    406,348.99/561,138.54 = 304,197.10/x
  3. Step 3: Cross multiply
    406,348.99x = 561,138.54 × 304,197.10
  4. Step 4: Simplify right side
    406,348.99x = 170,696,715,805.74
  5. Step 5: Solve for x
    x = 170,696,715,805.74/406,348.99
  6. Step 6: Final answer
    x = 420,074.18

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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.