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Finding the Fourth Proportional to 315,617.83, 473,381.17 and 187,609.07

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Solution

The fourth proportional to 315,617.83, 473,381.17 and 187,609.07 is: 281,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,617.83 : 473,381.17 = 187,609.07 : x
  2. Step 2: Convert to fraction form
    315,617.83/473,381.17 = 187,609.07/x
  3. Step 3: Cross multiply
    315,617.83x = 473,381.17 × 187,609.07
  4. Step 4: Simplify right side
    315,617.83x = 88,810,601,059.21
  5. Step 5: Solve for x
    x = 88,810,601,059.21/315,617.83
  6. Step 6: Final answer
    x = 281,386.51

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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.