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Finding the Fourth Proportional to 372,234.49, 513,729.20 and 219,264.77

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Solution

The fourth proportional to 372,234.49, 513,729.20 and 219,264.77 is: 302,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,234.49 : 513,729.20 = 219,264.77 : x
  2. Step 2: Convert to fraction form
    372,234.49/513,729.20 = 219,264.77/x
  3. Step 3: Cross multiply
    372,234.49x = 513,729.20 × 219,264.77
  4. Step 4: Simplify right side
    372,234.49x = 112,642,715,068.28
  5. Step 5: Solve for x
    x = 112,642,715,068.28/372,234.49
  6. Step 6: Final answer
    x = 302,612.25

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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.