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Finding the Fourth Proportional to 315,981.69, 474,092.25 and 189,710.12

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Solution

The fourth proportional to 315,981.69, 474,092.25 and 189,710.12 is: 284,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,981.69 : 474,092.25 = 189,710.12 : x
  2. Step 2: Convert to fraction form
    315,981.69/474,092.25 = 189,710.12/x
  3. Step 3: Cross multiply
    315,981.69x = 474,092.25 × 189,710.12
  4. Step 4: Simplify right side
    315,981.69x = 89,940,095,268.11
  5. Step 5: Solve for x
    x = 89,940,095,268.11/315,981.69
  6. Step 6: Final answer
    x = 284,637.05

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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.