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Finding the Fourth Proportional to 315,721.80, 473,582.70 and 189,750.60

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Solution

The fourth proportional to 315,721.80, 473,582.70 and 189,750.60 is: 284,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,721.80 : 473,582.70 = 189,750.60 : x
  2. Step 2: Convert to fraction form
    315,721.80/473,582.70 = 189,750.60/x
  3. Step 3: Cross multiply
    315,721.80x = 473,582.70 × 189,750.60
  4. Step 4: Simplify right side
    315,721.80x = 89,862,601,474.62
  5. Step 5: Solve for x
    x = 89,862,601,474.62/315,721.80
  6. Step 6: Final answer
    x = 284,625.90

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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.