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Finding the Fourth Proportional to 472,912.30, 708,202.05 and 314,281.90

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Solution

The fourth proportional to 472,912.30, 708,202.05 and 314,281.90 is: 470,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,912.30 : 708,202.05 = 314,281.90 : x
  2. Step 2: Convert to fraction form
    472,912.30/708,202.05 = 314,281.90/x
  3. Step 3: Cross multiply
    472,912.30x = 708,202.05 × 314,281.90
  4. Step 4: Simplify right side
    472,912.30x = 222,575,085,857.90
  5. Step 5: Solve for x
    x = 222,575,085,857.90/472,912.30
  6. Step 6: Final answer
    x = 470,647.70

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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.