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Finding the Fourth Proportional to 189,430.53, 284,192.78 and 56,310.54

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Solution

The fourth proportional to 189,430.53, 284,192.78 and 56,310.54 is: 84,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,430.53 : 284,192.78 = 56,310.54 : x
  2. Step 2: Convert to fraction form
    189,430.53/284,192.78 = 56,310.54/x
  3. Step 3: Cross multiply
    189,430.53x = 284,192.78 × 56,310.54
  4. Step 4: Simplify right side
    189,430.53x = 16,003,048,624.35
  5. Step 5: Solve for x
    x = 16,003,048,624.35/189,430.53
  6. Step 6: Final answer
    x = 84,479.78

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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.