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Finding the Fourth Proportional to 442,810.30, 663,231.30 and 364,078.30

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Solution

The fourth proportional to 442,810.30, 663,231.30 and 364,078.30 is: 545,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,810.30 : 663,231.30 = 364,078.30 : x
  2. Step 2: Convert to fraction form
    442,810.30/663,231.30 = 364,078.30/x
  3. Step 3: Cross multiply
    442,810.30x = 663,231.30 × 364,078.30
  4. Step 4: Simplify right side
    442,810.30x = 241,468,124,210.79
  5. Step 5: Solve for x
    x = 241,468,124,210.79/442,810.30
  6. Step 6: Final answer
    x = 545,308.28

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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.