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Finding the Fourth Proportional to 457,831.79, 686,846.12 and 154,256.12

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Solution

The fourth proportional to 457,831.79, 686,846.12 and 154,256.12 is: 231,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,831.79 : 686,846.12 = 154,256.12 : x
  2. Step 2: Convert to fraction form
    457,831.79/686,846.12 = 154,256.12/x
  3. Step 3: Cross multiply
    457,831.79x = 686,846.12 × 154,256.12
  4. Step 4: Simplify right side
    457,831.79x = 105,950,214,739.76
  5. Step 5: Solve for x
    x = 105,950,214,739.76/457,831.79
  6. Step 6: Final answer
    x = 231,417.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.