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Finding the Fourth Proportional to 315,438.12, 472,690.62 and 209,874.60

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Solution

The fourth proportional to 315,438.12, 472,690.62 and 209,874.60 is: 314,501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,438.12 : 472,690.62 = 209,874.60 : x
  2. Step 2: Convert to fraction form
    315,438.12/472,690.62 = 209,874.60/x
  3. Step 3: Cross multiply
    315,438.12x = 472,690.62 × 209,874.60
  4. Step 4: Simplify right side
    315,438.12x = 99,205,754,796.25
  5. Step 5: Solve for x
    x = 99,205,754,796.25/315,438.12
  6. Step 6: Final answer
    x = 314,501.48

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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.