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Finding the Fourth Proportional to 449,140.32, 619,859.52 and 258,161.76

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Solution

The fourth proportional to 449,140.32, 619,859.52 and 258,161.76 is: 356,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,140.32 : 619,859.52 = 258,161.76 : x
  2. Step 2: Convert to fraction form
    449,140.32/619,859.52 = 258,161.76/x
  3. Step 3: Cross multiply
    449,140.32x = 619,859.52 × 258,161.76
  4. Step 4: Simplify right side
    449,140.32x = 160,024,024,635.96
  5. Step 5: Solve for x
    x = 160,024,024,635.96/449,140.32
  6. Step 6: Final answer
    x = 356,289.60

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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.