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Finding the Fourth Proportional to 402,249.81, 554,946 and 259,092.84

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Solution

The fourth proportional to 402,249.81, 554,946 and 259,092.84 is: 357,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,249.81 : 554,946 = 259,092.84 : x
  2. Step 2: Convert to fraction form
    402,249.81/554,946 = 259,092.84/x
  3. Step 3: Cross multiply
    402,249.81x = 554,946 × 259,092.84
  4. Step 4: Simplify right side
    402,249.81x = 143,782,535,186.64
  5. Step 5: Solve for x
    x = 143,782,535,186.64/402,249.81
  6. Step 6: Final answer
    x = 357,445.87

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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.