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Finding the Fourth Proportional to 699,442.56, 965,312.64 and 397,681.92

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Solution

The fourth proportional to 699,442.56, 965,312.64 and 397,681.92 is: 548,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,442.56 : 965,312.64 = 397,681.92 : x
  2. Step 2: Convert to fraction form
    699,442.56/965,312.64 = 397,681.92/x
  3. Step 3: Cross multiply
    699,442.56x = 965,312.64 × 397,681.92
  4. Step 4: Simplify right side
    699,442.56x = 383,887,384,075.47
  5. Step 5: Solve for x
    x = 383,887,384,075.47/699,442.56
  6. Step 6: Final answer
    x = 548,847.62

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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.