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Finding the Fourth Proportional to 372,820.70, 514,460.96 and 209,464.41

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Solution

The fourth proportional to 372,820.70, 514,460.96 and 209,464.41 is: 289,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,820.70 : 514,460.96 = 209,464.41 : x
  2. Step 2: Convert to fraction form
    372,820.70/514,460.96 = 209,464.41/x
  3. Step 3: Cross multiply
    372,820.70x = 514,460.96 × 209,464.41
  4. Step 4: Simplify right side
    372,820.70x = 107,761,260,407.11
  5. Step 5: Solve for x
    x = 107,761,260,407.11/372,820.70
  6. Step 6: Final answer
    x = 289,043.13

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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.