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Finding the Fourth Proportional to 665,424.37, 998,219.40 and 260,564.32

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Solution

The fourth proportional to 665,424.37, 998,219.40 and 260,564.32 is: 390,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,424.37 : 998,219.40 = 260,564.32 : x
  2. Step 2: Convert to fraction form
    665,424.37/998,219.40 = 260,564.32/x
  3. Step 3: Cross multiply
    665,424.37x = 998,219.40 × 260,564.32
  4. Step 4: Simplify right side
    665,424.37x = 260,100,359,171.81
  5. Step 5: Solve for x
    x = 260,100,359,171.81/665,424.37
  6. Step 6: Final answer
    x = 390,878.92

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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.