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Finding the Fourth Proportional to 385,067.78, 531,230.81 and 257,784.38

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Solution

The fourth proportional to 385,067.78, 531,230.81 and 257,784.38 is: 355,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,067.78 : 531,230.81 = 257,784.38 : x
  2. Step 2: Convert to fraction form
    385,067.78/531,230.81 = 257,784.38/x
  3. Step 3: Cross multiply
    385,067.78x = 531,230.81 × 257,784.38
  4. Step 4: Simplify right side
    385,067.78x = 136,943,001,047.67
  5. Step 5: Solve for x
    x = 136,943,001,047.67/385,067.78
  6. Step 6: Final answer
    x = 355,633.50

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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.