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Finding the Fourth Proportional to 257,366.68, 355,165.50 and 144,187

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Solution

The fourth proportional to 257,366.68, 355,165.50 and 144,187 is: 198,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,366.68 : 355,165.50 = 144,187 : x
  2. Step 2: Convert to fraction form
    257,366.68/355,165.50 = 144,187/x
  3. Step 3: Cross multiply
    257,366.68x = 355,165.50 × 144,187
  4. Step 4: Simplify right side
    257,366.68x = 51,210,247,948.50
  5. Step 5: Solve for x
    x = 51,210,247,948.50/257,366.68
  6. Step 6: Final answer
    x = 198,977.77

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1.5x scale

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.