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Finding the Fourth Proportional to 514,725.20, 771,828.60 and 304,427.60

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Solution

The fourth proportional to 514,725.20, 771,828.60 and 304,427.60 is: 456,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,725.20 : 771,828.60 = 304,427.60 : x
  2. Step 2: Convert to fraction form
    514,725.20/771,828.60 = 304,427.60/x
  3. Step 3: Cross multiply
    514,725.20x = 771,828.60 × 304,427.60
  4. Step 4: Simplify right side
    514,725.20x = 234,965,928,309.36
  5. Step 5: Solve for x
    x = 234,965,928,309.36/514,725.20
  6. Step 6: Final answer
    x = 456,488.10

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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.