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Finding the Fourth Proportional to 315,381.54, 473,147.61 and 105,021.30

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Solution

The fourth proportional to 315,381.54, 473,147.61 and 105,021.30 is: 157,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,381.54 : 473,147.61 = 105,021.30 : x
  2. Step 2: Convert to fraction form
    315,381.54/473,147.61 = 105,021.30/x
  3. Step 3: Cross multiply
    315,381.54x = 473,147.61 × 105,021.30
  4. Step 4: Simplify right side
    315,381.54x = 49,690,577,094.09
  5. Step 5: Solve for x
    x = 49,690,577,094.09/315,381.54
  6. Step 6: Final answer
    x = 157,557.02

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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.