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Finding the Fourth Proportional to 418,703.52, 628,263.03 and 165,978.66

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Solution

The fourth proportional to 418,703.52, 628,263.03 and 165,978.66 is: 249,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,703.52 : 628,263.03 = 165,978.66 : x
  2. Step 2: Convert to fraction form
    418,703.52/628,263.03 = 165,978.66/x
  3. Step 3: Cross multiply
    418,703.52x = 628,263.03 × 165,978.66
  4. Step 4: Simplify right side
    418,703.52x = 104,278,255,846.94
  5. Step 5: Solve for x
    x = 104,278,255,846.94/418,703.52
  6. Step 6: Final answer
    x = 249,050.34

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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.