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Finding the Fourth Proportional to 315,375.40, 473,699.79 and 189,255.16

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Solution

The fourth proportional to 315,375.40, 473,699.79 and 189,255.16 is: 284,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,375.40 : 473,699.79 = 189,255.16 : x
  2. Step 2: Convert to fraction form
    315,375.40/473,699.79 = 189,255.16/x
  3. Step 3: Cross multiply
    315,375.40x = 473,699.79 × 189,255.16
  4. Step 4: Simplify right side
    315,375.40x = 89,650,129,548.42
  5. Step 5: Solve for x
    x = 89,650,129,548.42/315,375.40
  6. Step 6: Final answer
    x = 284,264.81

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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.