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Finding the Fourth Proportional to 678,207.76, 935,999.84 and 433,415.64

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Solution

The fourth proportional to 678,207.76, 935,999.84 and 433,415.64 is: 598,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,207.76 : 935,999.84 = 433,415.64 : x
  2. Step 2: Convert to fraction form
    678,207.76/935,999.84 = 433,415.64/x
  3. Step 3: Cross multiply
    678,207.76x = 935,999.84 × 433,415.64
  4. Step 4: Simplify right side
    678,207.76x = 405,676,969,693.50
  5. Step 5: Solve for x
    x = 405,676,969,693.50/678,207.76
  6. Step 6: Final answer
    x = 598,160.32

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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.