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Finding the Fourth Proportional to 375,291.56, 517,903.14 and 203,211.40

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Solution

The fourth proportional to 375,291.56, 517,903.14 and 203,211.40 is: 280,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,291.56 : 517,903.14 = 203,211.40 : x
  2. Step 2: Convert to fraction form
    375,291.56/517,903.14 = 203,211.40/x
  3. Step 3: Cross multiply
    375,291.56x = 517,903.14 × 203,211.40
  4. Step 4: Simplify right side
    375,291.56x = 105,243,822,143.80
  5. Step 5: Solve for x
    x = 105,243,822,143.80/375,291.56
  6. Step 6: Final answer
    x = 280,432.16

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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.