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Finding the Fourth Proportional to 722,677.64, 997,214.52 and 400,307.84

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Solution

The fourth proportional to 722,677.64, 997,214.52 and 400,307.84 is: 552,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,677.64 : 997,214.52 = 400,307.84 : x
  2. Step 2: Convert to fraction form
    722,677.64/997,214.52 = 400,307.84/x
  3. Step 3: Cross multiply
    722,677.64x = 997,214.52 × 400,307.84
  4. Step 4: Simplify right side
    722,677.64x = 399,192,790,517.84
  5. Step 5: Solve for x
    x = 399,192,790,517.84/722,677.64
  6. Step 6: Final answer
    x = 552,380.16

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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.