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Finding the Fourth Proportional to 301,426.16, 415,778.87 and 178,831.76

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Solution

The fourth proportional to 301,426.16, 415,778.87 and 178,831.76 is: 246,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,426.16 : 415,778.87 = 178,831.76 : x
  2. Step 2: Convert to fraction form
    301,426.16/415,778.87 = 178,831.76/x
  3. Step 3: Cross multiply
    301,426.16x = 415,778.87 × 178,831.76
  4. Step 4: Simplify right side
    301,426.16x = 74,354,465,461.10
  5. Step 5: Solve for x
    x = 74,354,465,461.10/301,426.16
  6. Step 6: Final answer
    x = 246,675.56

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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.