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Finding the Fourth Proportional to 260,375.40, 390,368.70 and 142,180.20

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Solution

The fourth proportional to 260,375.40, 390,368.70 and 142,180.20 is: 213,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,375.40 : 390,368.70 = 142,180.20 : x
  2. Step 2: Convert to fraction form
    260,375.40/390,368.70 = 142,180.20/x
  3. Step 3: Cross multiply
    260,375.40x = 390,368.70 × 142,180.20
  4. Step 4: Simplify right side
    260,375.40x = 55,502,699,839.74
  5. Step 5: Solve for x
    x = 55,502,699,839.74/260,375.40
  6. Step 6: Final answer
    x = 213,164.15

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1.5x scale

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.