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Finding the Fourth Proportional to 294,785.85, 406,739.48 and 187,513.50

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Solution

The fourth proportional to 294,785.85, 406,739.48 and 187,513.50 is: 258,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,785.85 : 406,739.48 = 187,513.50 : x
  2. Step 2: Convert to fraction form
    294,785.85/406,739.48 = 187,513.50/x
  3. Step 3: Cross multiply
    294,785.85x = 406,739.48 × 187,513.50
  4. Step 4: Simplify right side
    294,785.85x = 76,269,142,545.41
  5. Step 5: Solve for x
    x = 76,269,142,545.41/294,785.85
  6. Step 6: Final answer
    x = 258,727.28

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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.