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Finding the Fourth Proportional to 501,472.87, 692,032.50 and 283,676.90

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Solution

The fourth proportional to 501,472.87, 692,032.50 and 283,676.90 is: 391,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,472.87 : 692,032.50 = 283,676.90 : x
  2. Step 2: Convert to fraction form
    501,472.87/692,032.50 = 283,676.90/x
  3. Step 3: Cross multiply
    501,472.87x = 692,032.50 × 283,676.90
  4. Step 4: Simplify right side
    501,472.87x = 196,313,630,839.09
  5. Step 5: Solve for x
    x = 196,313,630,839.09/501,472.87
  6. Step 6: Final answer
    x = 391,474.08

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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.