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Finding the Fourth Proportional to 307,123.36, 423,831.20 and 178,086.88

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Solution

The fourth proportional to 307,123.36, 423,831.20 and 178,086.88 is: 245,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,123.36 : 423,831.20 = 178,086.88 : x
  2. Step 2: Convert to fraction form
    307,123.36/423,831.20 = 178,086.88/x
  3. Step 3: Cross multiply
    307,123.36x = 423,831.20 × 178,086.88
  4. Step 4: Simplify right side
    307,123.36x = 75,478,776,054.66
  5. Step 5: Solve for x
    x = 75,478,776,054.66/307,123.36
  6. Step 6: Final answer
    x = 245,760.45

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1.5x scale

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.