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Finding the Fourth Proportional to 315,907.72, 473,672.24 and 144,915.32

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Solution

The fourth proportional to 315,907.72, 473,672.24 and 144,915.32 is: 217,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,907.72 : 473,672.24 = 144,915.32 : x
  2. Step 2: Convert to fraction form
    315,907.72/473,672.24 = 144,915.32/x
  3. Step 3: Cross multiply
    315,907.72x = 473,672.24 × 144,915.32
  4. Step 4: Simplify right side
    315,907.72x = 68,642,364,234.72
  5. Step 5: Solve for x
    x = 68,642,364,234.72/315,907.72
  6. Step 6: Final answer
    x = 217,286.12

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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.