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Finding the Fourth Proportional to 280,287.46, 386,804.91 and 152,971.21

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Solution

The fourth proportional to 280,287.46, 386,804.91 and 152,971.21 is: 211,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,287.46 : 386,804.91 = 152,971.21 : x
  2. Step 2: Convert to fraction form
    280,287.46/386,804.91 = 152,971.21/x
  3. Step 3: Cross multiply
    280,287.46x = 386,804.91 × 152,971.21
  4. Step 4: Simplify right side
    280,287.46x = 59,170,015,116.64
  5. Step 5: Solve for x
    x = 59,170,015,116.64/280,287.46
  6. Step 6: Final answer
    x = 211,104.75

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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.