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Finding the Fourth Proportional to 514,940.20, 772,410.30 and 304,815.40

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Solution

The fourth proportional to 514,940.20, 772,410.30 and 304,815.40 is: 457,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,940.20 : 772,410.30 = 304,815.40 : x
  2. Step 2: Convert to fraction form
    514,940.20/772,410.30 = 304,815.40/x
  3. Step 3: Cross multiply
    514,940.20x = 772,410.30 × 304,815.40
  4. Step 4: Simplify right side
    514,940.20x = 235,442,554,558.62
  5. Step 5: Solve for x
    x = 235,442,554,558.62/514,940.20
  6. Step 6: Final answer
    x = 457,223.10

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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.