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Finding the Fourth Proportional to 389,617.70, 584,426.55 and 256,907.30

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Solution

The fourth proportional to 389,617.70, 584,426.55 and 256,907.30 is: 385,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,617.70 : 584,426.55 = 256,907.30 : x
  2. Step 2: Convert to fraction form
    389,617.70/584,426.55 = 256,907.30/x
  3. Step 3: Cross multiply
    389,617.70x = 584,426.55 × 256,907.30
  4. Step 4: Simplify right side
    389,617.70x = 150,143,447,008.82
  5. Step 5: Solve for x
    x = 150,143,447,008.82/389,617.70
  6. Step 6: Final answer
    x = 385,360.95

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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.