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Finding the Fourth Proportional to 260,442.78, 359,428.86 and 145,732.32

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Solution

The fourth proportional to 260,442.78, 359,428.86 and 145,732.32 is: 201,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,442.78 : 359,428.86 = 145,732.32 : x
  2. Step 2: Convert to fraction form
    260,442.78/359,428.86 = 145,732.32/x
  3. Step 3: Cross multiply
    260,442.78x = 359,428.86 × 145,732.32
  4. Step 4: Simplify right side
    260,442.78x = 52,380,401,642.76
  5. Step 5: Solve for x
    x = 52,380,401,642.76/260,442.78
  6. Step 6: Final answer
    x = 201,120.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.