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Finding the Fourth Proportional to 406,385.42, 561,085.90 and 253,656.26

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Solution

The fourth proportional to 406,385.42, 561,085.90 and 253,656.26 is: 350,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,385.42 : 561,085.90 = 253,656.26 : x
  2. Step 2: Convert to fraction form
    406,385.42/561,085.90 = 253,656.26/x
  3. Step 3: Cross multiply
    406,385.42x = 561,085.90 × 253,656.26
  4. Step 4: Simplify right side
    406,385.42x = 142,322,950,932.73
  5. Step 5: Solve for x
    x = 142,322,950,932.73/406,385.42
  6. Step 6: Final answer
    x = 350,216.68

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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.