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Finding the Fourth Proportional to 315,924.93, 435,974.81 and 172,693.17

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Solution

The fourth proportional to 315,924.93, 435,974.81 and 172,693.17 is: 238,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,924.93 : 435,974.81 = 172,693.17 : x
  2. Step 2: Convert to fraction form
    315,924.93/435,974.81 = 172,693.17/x
  3. Step 3: Cross multiply
    315,924.93x = 435,974.81 × 172,693.17
  4. Step 4: Simplify right side
    315,924.93x = 75,289,871,115.58
  5. Step 5: Solve for x
    x = 75,289,871,115.58/315,924.93
  6. Step 6: Final answer
    x = 238,315.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.