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Finding the Fourth Proportional to 260,415.40, 390,546.30 and 102,591.40

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Solution

The fourth proportional to 260,415.40, 390,546.30 and 102,591.40 is: 153,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,415.40 : 390,546.30 = 102,591.40 : x
  2. Step 2: Convert to fraction form
    260,415.40/390,546.30 = 102,591.40/x
  3. Step 3: Cross multiply
    260,415.40x = 390,546.30 × 102,591.40
  4. Step 4: Simplify right side
    260,415.40x = 40,066,691,681.82
  5. Step 5: Solve for x
    x = 40,066,691,681.82/260,415.40
  6. Step 6: Final answer
    x = 153,856.84

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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.