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Finding the Fourth Proportional to 517,800.28, 776,440.66 and 301,729

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Solution

The fourth proportional to 517,800.28, 776,440.66 and 301,729 is: 452,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,800.28 : 776,440.66 = 301,729 : x
  2. Step 2: Convert to fraction form
    517,800.28/776,440.66 = 301,729/x
  3. Step 3: Cross multiply
    517,800.28x = 776,440.66 × 301,729
  4. Step 4: Simplify right side
    517,800.28x = 234,274,663,901.14
  5. Step 5: Solve for x
    x = 234,274,663,901.14/517,800.28
  6. Step 6: Final answer
    x = 452,442.13

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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.