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Finding the Fourth Proportional to 500,058.72, 689,909.40 and 285,043.68

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Solution

The fourth proportional to 500,058.72, 689,909.40 and 285,043.68 is: 393,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,058.72 : 689,909.40 = 285,043.68 : x
  2. Step 2: Convert to fraction form
    500,058.72/689,909.40 = 285,043.68/x
  3. Step 3: Cross multiply
    500,058.72x = 689,909.40 × 285,043.68
  4. Step 4: Simplify right side
    500,058.72x = 196,654,314,242.59
  5. Step 5: Solve for x
    x = 196,654,314,242.59/500,058.72
  6. Step 6: Final answer
    x = 393,262.44

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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.