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Finding the Fourth Proportional to 280,287, 386,804.26 and 152,970.76

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Solution

The fourth proportional to 280,287, 386,804.26 and 152,970.76 is: 211,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,287 : 386,804.26 = 152,970.76 : x
  2. Step 2: Convert to fraction form
    280,287/386,804.26 = 152,970.76/x
  3. Step 3: Cross multiply
    280,287x = 386,804.26 × 152,970.76
  4. Step 4: Simplify right side
    280,287x = 59,169,741,623.44
  5. Step 5: Solve for x
    x = 59,169,741,623.44/280,287
  6. Step 6: Final answer
    x = 211,104.12

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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.