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Finding the Fourth Proportional to 260,909.12, 359,973 and 146,172.38

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Solution

The fourth proportional to 260,909.12, 359,973 and 146,172.38 is: 201,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,909.12 : 359,973 = 146,172.38 : x
  2. Step 2: Convert to fraction form
    260,909.12/359,973 = 146,172.38/x
  3. Step 3: Cross multiply
    260,909.12x = 359,973 × 146,172.38
  4. Step 4: Simplify right side
    260,909.12x = 52,618,110,145.74
  5. Step 5: Solve for x
    x = 52,618,110,145.74/260,909.12
  6. Step 6: Final answer
    x = 201,672.18

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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.