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Finding the Fourth Proportional to 517,801.28, 776,442.16 and 301,730

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Solution

The fourth proportional to 517,801.28, 776,442.16 and 301,730 is: 452,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,801.28 : 776,442.16 = 301,730 : x
  2. Step 2: Convert to fraction form
    517,801.28/776,442.16 = 301,730/x
  3. Step 3: Cross multiply
    517,801.28x = 776,442.16 × 301,730
  4. Step 4: Simplify right side
    517,801.28x = 234,275,892,936.80
  5. Step 5: Solve for x
    x = 234,275,892,936.80/517,801.28
  6. Step 6: Final answer
    x = 452,443.63

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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.