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Finding the Fourth Proportional to 578,567.86, 867,908.89 and 199,438.68

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Solution

The fourth proportional to 578,567.86, 867,908.89 and 199,438.68 is: 299,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,567.86 : 867,908.89 = 199,438.68 : x
  2. Step 2: Convert to fraction form
    578,567.86/867,908.89 = 199,438.68/x
  3. Step 3: Cross multiply
    578,567.86x = 867,908.89 × 199,438.68
  4. Step 4: Simplify right side
    578,567.86x = 173,094,607,446.74
  5. Step 5: Solve for x
    x = 173,094,607,446.74/578,567.86
  6. Step 6: Final answer
    x = 299,177.71

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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.