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Finding the Fourth Proportional to 375,043.02, 517,430.66 and 213,781.74

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Solution

The fourth proportional to 375,043.02, 517,430.66 and 213,781.74 is: 294,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,043.02 : 517,430.66 = 213,781.74 : x
  2. Step 2: Convert to fraction form
    375,043.02/517,430.66 = 213,781.74/x
  3. Step 3: Cross multiply
    375,043.02x = 517,430.66 × 213,781.74
  4. Step 4: Simplify right side
    375,043.02x = 110,617,226,824.15
  5. Step 5: Solve for x
    x = 110,617,226,824.15/375,043.02
  6. Step 6: Final answer
    x = 294,945.44

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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.