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Finding the Fourth Proportional to 257,595.71, 385,893.23 and 144,932.40

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Solution

The fourth proportional to 257,595.71, 385,893.23 and 144,932.40 is: 217,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,595.71 : 385,893.23 = 144,932.40 : x
  2. Step 2: Convert to fraction form
    257,595.71/385,893.23 = 144,932.40/x
  3. Step 3: Cross multiply
    257,595.71x = 385,893.23 × 144,932.40
  4. Step 4: Simplify right side
    257,595.71x = 55,928,431,242.99
  5. Step 5: Solve for x
    x = 55,928,431,242.99/257,595.71
  6. Step 6: Final answer
    x = 217,117.10

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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.