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Finding the Fourth Proportional to 315,095.06, 434,831.14 and 171,855.11

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Solution

The fourth proportional to 315,095.06, 434,831.14 and 171,855.11 is: 237,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,095.06 : 434,831.14 = 171,855.11 : x
  2. Step 2: Convert to fraction form
    315,095.06/434,831.14 = 171,855.11/x
  3. Step 3: Cross multiply
    315,095.06x = 434,831.14 × 171,855.11
  4. Step 4: Simplify right side
    315,095.06x = 74,727,953,396.13
  5. Step 5: Solve for x
    x = 74,727,953,396.13/315,095.06
  6. Step 6: Final answer
    x = 237,160.03

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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.