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Finding the Fourth Proportional to 678,006.28, 935,820.66 and 463,233.16

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Solution

The fourth proportional to 678,006.28, 935,820.66 and 463,233.16 is: 639,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,006.28 : 935,820.66 = 463,233.16 : x
  2. Step 2: Convert to fraction form
    678,006.28/935,820.66 = 463,233.16/x
  3. Step 3: Cross multiply
    678,006.28x = 935,820.66 × 463,233.16
  4. Step 4: Simplify right side
    678,006.28x = 433,503,161,525.09
  5. Step 5: Solve for x
    x = 433,503,161,525.09/678,006.28
  6. Step 6: Final answer
    x = 639,379.27

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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.