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Finding the Fourth Proportional to 378,830.58, 522,875.55 and 217,778.95

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Solution

The fourth proportional to 378,830.58, 522,875.55 and 217,778.95 is: 300,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,830.58 : 522,875.55 = 217,778.95 : x
  2. Step 2: Convert to fraction form
    378,830.58/522,875.55 = 217,778.95/x
  3. Step 3: Cross multiply
    378,830.58x = 522,875.55 × 217,778.95
  4. Step 4: Simplify right side
    378,830.58x = 113,871,288,259.67
  5. Step 5: Solve for x
    x = 113,871,288,259.67/378,830.58
  6. Step 6: Final answer
    x = 300,586.32

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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.