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Finding the Fourth Proportional to 255,191, 382,657.80 and 148,609.40

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Solution

The fourth proportional to 255,191, 382,657.80 and 148,609.40 is: 222,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,191 : 382,657.80 = 148,609.40 : x
  2. Step 2: Convert to fraction form
    255,191/382,657.80 = 148,609.40/x
  3. Step 3: Cross multiply
    255,191x = 382,657.80 × 148,609.40
  4. Step 4: Simplify right side
    255,191x = 56,866,546,063.32
  5. Step 5: Solve for x
    x = 56,866,546,063.32/255,191
  6. Step 6: Final answer
    x = 222,839.15

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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.