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Finding the Fourth Proportional to 380,560.89, 525,174.68 and 208,475.10

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Solution

The fourth proportional to 380,560.89, 525,174.68 and 208,475.10 is: 287,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,560.89 : 525,174.68 = 208,475.10 : x
  2. Step 2: Convert to fraction form
    380,560.89/525,174.68 = 208,475.10/x
  3. Step 3: Cross multiply
    380,560.89x = 525,174.68 × 208,475.10
  4. Step 4: Simplify right side
    380,560.89x = 109,485,842,888.09
  5. Step 5: Solve for x
    x = 109,485,842,888.09/380,560.89
  6. Step 6: Final answer
    x = 287,695.99

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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.