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Finding the Fourth Proportional to 384,757.10, 577,135.65 and 313,898.30

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Solution

The fourth proportional to 384,757.10, 577,135.65 and 313,898.30 is: 470,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,757.10 : 577,135.65 = 313,898.30 : x
  2. Step 2: Convert to fraction form
    384,757.10/577,135.65 = 313,898.30/x
  3. Step 3: Cross multiply
    384,757.10x = 577,135.65 × 313,898.30
  4. Step 4: Simplify right side
    384,757.10x = 181,161,899,404.40
  5. Step 5: Solve for x
    x = 181,161,899,404.40/384,757.10
  6. Step 6: Final answer
    x = 470,847.45

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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.