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Finding the Fourth Proportional to 698,697.32, 964,138.70 and 404,296.16

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Solution

The fourth proportional to 698,697.32, 964,138.70 and 404,296.16 is: 557,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,697.32 : 964,138.70 = 404,296.16 : x
  2. Step 2: Convert to fraction form
    698,697.32/964,138.70 = 404,296.16/x
  3. Step 3: Cross multiply
    698,697.32x = 964,138.70 × 404,296.16
  4. Step 4: Simplify right side
    698,697.32x = 389,797,574,117.39
  5. Step 5: Solve for x
    x = 389,797,574,117.39/698,697.32
  6. Step 6: Final answer
    x = 557,891.90

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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.