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Finding the Fourth Proportional to 315,242.28, 472,742.94 and 135,311.40

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Solution

The fourth proportional to 315,242.28, 472,742.94 and 135,311.40 is: 202,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,242.28 : 472,742.94 = 135,311.40 : x
  2. Step 2: Convert to fraction form
    315,242.28/472,742.94 = 135,311.40/x
  3. Step 3: Cross multiply
    315,242.28x = 472,742.94 × 135,311.40
  4. Step 4: Simplify right side
    315,242.28x = 63,967,509,051.52
  5. Step 5: Solve for x
    x = 63,967,509,051.52/315,242.28
  6. Step 6: Final answer
    x = 202,915.39

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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.