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Finding the Fourth Proportional to 405,305.76, 559,031.86 and 284,474

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Solution

The fourth proportional to 405,305.76, 559,031.86 and 284,474 is: 392,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,305.76 : 559,031.86 = 284,474 : x
  2. Step 2: Convert to fraction form
    405,305.76/559,031.86 = 284,474/x
  3. Step 3: Cross multiply
    405,305.76x = 559,031.86 × 284,474
  4. Step 4: Simplify right side
    405,305.76x = 159,030,029,341.64
  5. Step 5: Solve for x
    x = 159,030,029,341.64/405,305.76
  6. Step 6: Final answer
    x = 392,370.51

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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.