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Finding the Fourth Proportional to 257,390.31, 386,220.10 and 186,895.27

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Solution

The fourth proportional to 257,390.31, 386,220.10 and 186,895.27 is: 280,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,390.31 : 386,220.10 = 186,895.27 : x
  2. Step 2: Convert to fraction form
    257,390.31/386,220.10 = 186,895.27/x
  3. Step 3: Cross multiply
    257,390.31x = 386,220.10 × 186,895.27
  4. Step 4: Simplify right side
    257,390.31x = 72,182,709,868.93
  5. Step 5: Solve for x
    x = 72,182,709,868.93/257,390.31
  6. Step 6: Final answer
    x = 280,440.67

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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.