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Finding the Fourth Proportional to 517,862.76, 776,836.26 and 143,885.76

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Solution

The fourth proportional to 517,862.76, 776,836.26 and 143,885.76 is: 215,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,862.76 : 776,836.26 = 143,885.76 : x
  2. Step 2: Convert to fraction form
    517,862.76/776,836.26 = 143,885.76/x
  3. Step 3: Cross multiply
    517,862.76x = 776,836.26 × 143,885.76
  4. Step 4: Simplify right side
    517,862.76x = 111,775,675,665.66
  5. Step 5: Solve for x
    x = 111,775,675,665.66/517,862.76
  6. Step 6: Final answer
    x = 215,840.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.