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Finding the Fourth Proportional to 309,762, 427,523.40 and 175,703.76

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Solution

The fourth proportional to 309,762, 427,523.40 and 175,703.76 is: 242,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,762 : 427,523.40 = 175,703.76 : x
  2. Step 2: Convert to fraction form
    309,762/427,523.40 = 175,703.76/x
  3. Step 3: Cross multiply
    309,762x = 427,523.40 × 175,703.76
  4. Step 4: Simplify right side
    309,762x = 75,117,468,867.98
  5. Step 5: Solve for x
    x = 75,117,468,867.98/309,762
  6. Step 6: Final answer
    x = 242,500.59

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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.