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Finding the Fourth Proportional to 409,304.08, 564,831.12 and 228,015.76

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Solution

The fourth proportional to 409,304.08, 564,831.12 and 228,015.76 is: 314,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,304.08 : 564,831.12 = 228,015.76 : x
  2. Step 2: Convert to fraction form
    409,304.08/564,831.12 = 228,015.76/x
  3. Step 3: Cross multiply
    409,304.08x = 564,831.12 × 228,015.76
  4. Step 4: Simplify right side
    409,304.08x = 128,790,397,098.45
  5. Step 5: Solve for x
    x = 128,790,397,098.45/409,304.08
  6. Step 6: Final answer
    x = 314,657.01

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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.