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Finding the Fourth Proportional to 375,170.50, 517,784.70 and 213,988.60

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Solution

The fourth proportional to 375,170.50, 517,784.70 and 213,988.60 is: 295,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,170.50 : 517,784.70 = 213,988.60 : x
  2. Step 2: Convert to fraction form
    375,170.50/517,784.70 = 213,988.60/x
  3. Step 3: Cross multiply
    375,170.50x = 517,784.70 × 213,988.60
  4. Step 4: Simplify right side
    375,170.50x = 110,800,023,054.42
  5. Step 5: Solve for x
    x = 110,800,023,054.42/375,170.50
  6. Step 6: Final answer
    x = 295,332.45

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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.