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Finding the Fourth Proportional to 260,577, 390,690.54 and 120,259.08

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Solution

The fourth proportional to 260,577, 390,690.54 and 120,259.08 is: 180,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,577 : 390,690.54 = 120,259.08 : x
  2. Step 2: Convert to fraction form
    260,577/390,690.54 = 120,259.08/x
  3. Step 3: Cross multiply
    260,577x = 390,690.54 × 120,259.08
  4. Step 4: Simplify right side
    260,577x = 46,984,084,905.10
  5. Step 5: Solve for x
    x = 46,984,084,905.10/260,577
  6. Step 6: Final answer
    x = 180,307.87

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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.