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Finding the Fourth Proportional to 698,782.84, 964,297.98 and 392,872.16

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Solution

The fourth proportional to 698,782.84, 964,297.98 and 392,872.16 is: 542,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,782.84 : 964,297.98 = 392,872.16 : x
  2. Step 2: Convert to fraction form
    698,782.84/964,297.98 = 392,872.16/x
  3. Step 3: Cross multiply
    698,782.84x = 964,297.98 × 392,872.16
  4. Step 4: Simplify right side
    698,782.84x = 378,845,832,696.98
  5. Step 5: Solve for x
    x = 378,845,832,696.98/698,782.84
  6. Step 6: Final answer
    x = 542,151.03

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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.