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Finding the Fourth Proportional to 564,831.36, 779,472.78 and 310,188

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Solution

The fourth proportional to 564,831.36, 779,472.78 and 310,188 is: 428,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,831.36 : 779,472.78 = 310,188 : x
  2. Step 2: Convert to fraction form
    564,831.36/779,472.78 = 310,188/x
  3. Step 3: Cross multiply
    564,831.36x = 779,472.78 × 310,188
  4. Step 4: Simplify right side
    564,831.36x = 241,783,102,682.64
  5. Step 5: Solve for x
    x = 241,783,102,682.64/564,831.36
  6. Step 6: Final answer
    x = 428,062.46

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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.