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Finding the Fourth Proportional to 665,094.97, 997,663.92 and 260,271.28

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Solution

The fourth proportional to 665,094.97, 997,663.92 and 260,271.28 is: 390,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,094.97 : 997,663.92 = 260,271.28 : x
  2. Step 2: Convert to fraction form
    665,094.97/997,663.92 = 260,271.28/x
  3. Step 3: Cross multiply
    665,094.97x = 997,663.92 × 260,271.28
  4. Step 4: Simplify right side
    665,094.97x = 259,663,265,468.22
  5. Step 5: Solve for x
    x = 259,663,265,468.22/665,094.97
  6. Step 6: Final answer
    x = 390,415.32

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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.