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Finding the Fourth Proportional to 665,087.86, 997,653.05 and 260,264.03

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Solution

The fourth proportional to 665,087.86, 997,653.05 and 260,264.03 is: 390,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,087.86 : 997,653.05 = 260,264.03 : x
  2. Step 2: Convert to fraction form
    665,087.86/997,653.05 = 260,264.03/x
  3. Step 3: Cross multiply
    665,087.86x = 997,653.05 × 260,264.03
  4. Step 4: Simplify right side
    665,087.86x = 259,653,202,033.47
  5. Step 5: Solve for x
    x = 259,653,202,033.47/665,087.86
  6. Step 6: Final answer
    x = 390,404.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.