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Finding the Fourth Proportional to 374,789.16, 517,147.74 and 213,647.22

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Solution

The fourth proportional to 374,789.16, 517,147.74 and 213,647.22 is: 294,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,789.16 : 517,147.74 = 213,647.22 : x
  2. Step 2: Convert to fraction form
    374,789.16/517,147.74 = 213,647.22/x
  3. Step 3: Cross multiply
    374,789.16x = 517,147.74 × 213,647.22
  4. Step 4: Simplify right side
    374,789.16x = 110,487,176,980.28
  5. Step 5: Solve for x
    x = 110,487,176,980.28/374,789.16
  6. Step 6: Final answer
    x = 294,798.22

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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.