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Finding the Fourth Proportional to 315,004.20, 472,506.30 and 202,811.10

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Solution

The fourth proportional to 315,004.20, 472,506.30 and 202,811.10 is: 304,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,004.20 : 472,506.30 = 202,811.10 : x
  2. Step 2: Convert to fraction form
    315,004.20/472,506.30 = 202,811.10/x
  3. Step 3: Cross multiply
    315,004.20x = 472,506.30 × 202,811.10
  4. Step 4: Simplify right side
    315,004.20x = 95,829,522,459.93
  5. Step 5: Solve for x
    x = 95,829,522,459.93/315,004.20
  6. Step 6: Final answer
    x = 304,216.65

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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.