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Finding the Fourth Proportional to 372,978, 514,703.10 and 203,213.32

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Solution

The fourth proportional to 372,978, 514,703.10 and 203,213.32 is: 280,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,978 : 514,703.10 = 203,213.32 : x
  2. Step 2: Convert to fraction form
    372,978/514,703.10 = 203,213.32/x
  3. Step 3: Cross multiply
    372,978x = 514,703.10 × 203,213.32
  4. Step 4: Simplify right side
    372,978x = 104,594,525,765.29
  5. Step 5: Solve for x
    x = 104,594,525,765.29/372,978
  6. Step 6: Final answer
    x = 280,430.82

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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.