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Finding the Fourth Proportional to 257,545, 355,528.50 and 162,191.80

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Solution

The fourth proportional to 257,545, 355,528.50 and 162,191.80 is: 223,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,545 : 355,528.50 = 162,191.80 : x
  2. Step 2: Convert to fraction form
    257,545/355,528.50 = 162,191.80/x
  3. Step 3: Cross multiply
    257,545x = 355,528.50 × 162,191.80
  4. Step 4: Simplify right side
    257,545x = 57,663,807,366.30
  5. Step 5: Solve for x
    x = 57,663,807,366.30/257,545
  6. Step 6: Final answer
    x = 223,897.99

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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.