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Finding the Fourth Proportional to 642,203.98, 886,261.50 and 355,750.72

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Solution

The fourth proportional to 642,203.98, 886,261.50 and 355,750.72 is: 490,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,203.98 : 886,261.50 = 355,750.72 : x
  2. Step 2: Convert to fraction form
    642,203.98/886,261.50 = 355,750.72/x
  3. Step 3: Cross multiply
    642,203.98x = 886,261.50 × 355,750.72
  4. Step 4: Simplify right side
    642,203.98x = 315,288,164,517.63
  5. Step 5: Solve for x
    x = 315,288,164,517.63/642,203.98
  6. Step 6: Final answer
    x = 490,947.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.