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Finding the Fourth Proportional to 257,905.32, 355,902.40 and 154,597.87

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Solution

The fourth proportional to 257,905.32, 355,902.40 and 154,597.87 is: 213,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,905.32 : 355,902.40 = 154,597.87 : x
  2. Step 2: Convert to fraction form
    257,905.32/355,902.40 = 154,597.87/x
  3. Step 3: Cross multiply
    257,905.32x = 355,902.40 × 154,597.87
  4. Step 4: Simplify right side
    257,905.32x = 55,021,752,967.89
  5. Step 5: Solve for x
    x = 55,021,752,967.89/257,905.32
  6. Step 6: Final answer
    x = 213,340.90

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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.