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Finding the Fourth Proportional to 257,242.62, 385,878.50 and 79,774.86

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Solution

The fourth proportional to 257,242.62, 385,878.50 and 79,774.86 is: 119,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,242.62 : 385,878.50 = 79,774.86 : x
  2. Step 2: Convert to fraction form
    257,242.62/385,878.50 = 79,774.86/x
  3. Step 3: Cross multiply
    257,242.62x = 385,878.50 × 79,774.86
  4. Step 4: Simplify right side
    257,242.62x = 30,783,402,915.64
  5. Step 5: Solve for x
    x = 30,783,402,915.64/257,242.62
  6. Step 6: Final answer
    x = 119,666.81

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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.