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Finding the Fourth Proportional to 556,643.20, 834,209.52 and 256,463.68

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Solution

The fourth proportional to 556,643.20, 834,209.52 and 256,463.68 is: 384,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,643.20 : 834,209.52 = 256,463.68 : x
  2. Step 2: Convert to fraction form
    556,643.20/834,209.52 = 256,463.68/x
  3. Step 3: Cross multiply
    556,643.20x = 834,209.52 × 256,463.68
  4. Step 4: Simplify right side
    556,643.20x = 213,944,443,390.23
  5. Step 5: Solve for x
    x = 213,944,443,390.23/556,643.20
  6. Step 6: Final answer
    x = 384,347.54

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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.