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Finding the Fourth Proportional to 314,998.20, 472,497.30 and 297,939.60

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Solution

The fourth proportional to 314,998.20, 472,497.30 and 297,939.60 is: 446,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,998.20 : 472,497.30 = 297,939.60 : x
  2. Step 2: Convert to fraction form
    314,998.20/472,497.30 = 297,939.60/x
  3. Step 3: Cross multiply
    314,998.20x = 472,497.30 × 297,939.60
  4. Step 4: Simplify right side
    314,998.20x = 140,775,656,563.08
  5. Step 5: Solve for x
    x = 140,775,656,563.08/314,998.20
  6. Step 6: Final answer
    x = 446,909.40

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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.