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Finding the Fourth Proportional to 462,991.06, 697,956.78 and 432,128.73

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Solution

The fourth proportional to 462,991.06, 697,956.78 and 432,128.73 is: 651,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,991.06 : 697,956.78 = 432,128.73 : x
  2. Step 2: Convert to fraction form
    462,991.06/697,956.78 = 432,128.73/x
  3. Step 3: Cross multiply
    462,991.06x = 697,956.78 × 432,128.73
  4. Step 4: Simplify right side
    462,991.06x = 301,607,176,936.29
  5. Step 5: Solve for x
    x = 301,607,176,936.29/462,991.06
  6. Step 6: Final answer
    x = 651,431.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.