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Finding the Fourth Proportional to 257,904.32, 355,901.03 and 154,596.87

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Solution

The fourth proportional to 257,904.32, 355,901.03 and 154,596.87 is: 213,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,904.32 : 355,901.03 = 154,596.87 : x
  2. Step 2: Convert to fraction form
    257,904.32/355,901.03 = 154,596.87/x
  3. Step 3: Cross multiply
    257,904.32x = 355,901.03 × 154,596.87
  4. Step 4: Simplify right side
    257,904.32x = 55,021,184,494.79
  5. Step 5: Solve for x
    x = 55,021,184,494.79/257,904.32
  6. Step 6: Final answer
    x = 213,339.53

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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.