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Finding the Fourth Proportional to 280,099.73, 386,570.31 and 159,259.13

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Solution

The fourth proportional to 280,099.73, 386,570.31 and 159,259.13 is: 219,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,099.73 : 386,570.31 = 159,259.13 : x
  2. Step 2: Convert to fraction form
    280,099.73/386,570.31 = 159,259.13/x
  3. Step 3: Cross multiply
    280,099.73x = 386,570.31 × 159,259.13
  4. Step 4: Simplify right side
    280,099.73x = 61,564,849,321.58
  5. Step 5: Solve for x
    x = 61,564,849,321.58/280,099.73
  6. Step 6: Final answer
    x = 219,796.17

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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.