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Finding the Fourth Proportional to 371,560.30, 512,784.82 and 210,444

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Solution

The fourth proportional to 371,560.30, 512,784.82 and 210,444 is: 290,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,560.30 : 512,784.82 = 210,444 : x
  2. Step 2: Convert to fraction form
    371,560.30/512,784.82 = 210,444/x
  3. Step 3: Cross multiply
    371,560.30x = 512,784.82 × 210,444
  4. Step 4: Simplify right side
    371,560.30x = 107,912,488,660.08
  5. Step 5: Solve for x
    x = 107,912,488,660.08/371,560.30
  6. Step 6: Final answer
    x = 290,430.62

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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.