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Finding the Fourth Proportional to 385,849.85, 577,737.97 and 314,479.94

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Solution

The fourth proportional to 385,849.85, 577,737.97 and 314,479.94 is: 470,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,849.85 : 577,737.97 = 314,479.94 : x
  2. Step 2: Convert to fraction form
    385,849.85/577,737.97 = 314,479.94/x
  3. Step 3: Cross multiply
    385,849.85x = 577,737.97 × 314,479.94
  4. Step 4: Simplify right side
    385,849.85x = 181,686,998,466.43
  5. Step 5: Solve for x
    x = 181,686,998,466.43/385,849.85
  6. Step 6: Final answer
    x = 470,874.88

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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.