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Finding the Fourth Proportional to 310,831.81, 428,907.56 and 174,861.17

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Solution

The fourth proportional to 310,831.81, 428,907.56 and 174,861.17 is: 241,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,831.81 : 428,907.56 = 174,861.17 : x
  2. Step 2: Convert to fraction form
    310,831.81/428,907.56 = 174,861.17/x
  3. Step 3: Cross multiply
    310,831.81x = 428,907.56 × 174,861.17
  4. Step 4: Simplify right side
    310,831.81x = 74,999,277,763.45
  5. Step 5: Solve for x
    x = 74,999,277,763.45/310,831.81
  6. Step 6: Final answer
    x = 241,285.72

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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.