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Finding the Fourth Proportional to 257,203.52, 355,034 and 209,373.84

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Solution

The fourth proportional to 257,203.52, 355,034 and 209,373.84 is: 289,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,203.52 : 355,034 = 209,373.84 : x
  2. Step 2: Convert to fraction form
    257,203.52/355,034 = 209,373.84/x
  3. Step 3: Cross multiply
    257,203.52x = 355,034 × 209,373.84
  4. Step 4: Simplify right side
    257,203.52x = 74,334,831,910.56
  5. Step 5: Solve for x
    x = 74,334,831,910.56/257,203.52
  6. Step 6: Final answer
    x = 289,011.72

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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.