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Finding the Fourth Proportional to 257,242.24, 385,877.94 and 79,774.48

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Solution

The fourth proportional to 257,242.24, 385,877.94 and 79,774.48 is: 119,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,242.24 : 385,877.94 = 79,774.48 : x
  2. Step 2: Convert to fraction form
    257,242.24/385,877.94 = 79,774.48/x
  3. Step 3: Cross multiply
    257,242.24x = 385,877.94 × 79,774.48
  4. Step 4: Simplify right side
    257,242.24x = 30,783,212,006.97
  5. Step 5: Solve for x
    x = 30,783,212,006.97/257,242.24
  6. Step 6: Final answer
    x = 119,666.24

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1.5x scale

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.