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Finding the Fourth Proportional to 260,040.78, 358,849.34 and 145,320.32

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Solution

The fourth proportional to 260,040.78, 358,849.34 and 145,320.32 is: 200,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,040.78 : 358,849.34 = 145,320.32 : x
  2. Step 2: Convert to fraction form
    260,040.78/358,849.34 = 145,320.32/x
  3. Step 3: Cross multiply
    260,040.78x = 358,849.34 × 145,320.32
  4. Step 4: Simplify right side
    260,040.78x = 52,148,100,920.59
  5. Step 5: Solve for x
    x = 52,148,100,920.59/260,040.78
  6. Step 6: Final answer
    x = 200,538.17

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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.