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Finding the Fourth Proportional to 384,782.90, 577,174.35 and 207,635.90

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Solution

The fourth proportional to 384,782.90, 577,174.35 and 207,635.90 is: 311,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,782.90 : 577,174.35 = 207,635.90 : x
  2. Step 2: Convert to fraction form
    384,782.90/577,174.35 = 207,635.90/x
  3. Step 3: Cross multiply
    384,782.90x = 577,174.35 × 207,635.90
  4. Step 4: Simplify right side
    384,782.90x = 119,842,115,619.17
  5. Step 5: Solve for x
    x = 119,842,115,619.17/384,782.90
  6. Step 6: Final answer
    x = 311,453.85

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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.