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Finding the Fourth Proportional to 426,402, 639,606.24 and 145,921.68

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Solution

The fourth proportional to 426,402, 639,606.24 and 145,921.68 is: 218,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,402 : 639,606.24 = 145,921.68 : x
  2. Step 2: Convert to fraction form
    426,402/639,606.24 = 145,921.68/x
  3. Step 3: Cross multiply
    426,402x = 639,606.24 × 145,921.68
  4. Step 4: Simplify right side
    426,402x = 93,332,417,079.28
  5. Step 5: Solve for x
    x = 93,332,417,079.28/426,402
  6. Step 6: Final answer
    x = 218,883.63

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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.