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Finding the Fourth Proportional to 556,893.80, 835,206.92 and 257,086.31

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Solution

The fourth proportional to 556,893.80, 835,206.92 and 257,086.31 is: 385,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,893.80 : 835,206.92 = 257,086.31 : x
  2. Step 2: Convert to fraction form
    556,893.80/835,206.92 = 257,086.31/x
  3. Step 3: Cross multiply
    556,893.80x = 835,206.92 × 257,086.31
  4. Step 4: Simplify right side
    556,893.80x = 214,720,259,687.80
  5. Step 5: Solve for x
    x = 214,720,259,687.80/556,893.80
  6. Step 6: Final answer
    x = 385,567.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.