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Finding the Fourth Proportional to 264,386.64, 396,579.95 and 77,398.14

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Solution

The fourth proportional to 264,386.64, 396,579.95 and 77,398.14 is: 116,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,386.64 : 396,579.95 = 77,398.14 : x
  2. Step 2: Convert to fraction form
    264,386.64/396,579.95 = 77,398.14/x
  3. Step 3: Cross multiply
    264,386.64x = 396,579.95 × 77,398.14
  4. Step 4: Simplify right side
    264,386.64x = 30,694,550,491.29
  5. Step 5: Solve for x
    x = 30,694,550,491.29/264,386.64
  6. Step 6: Final answer
    x = 116,097.21

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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.