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Finding the Fourth Proportional to 280,298.67, 386,806.77 and 152,975.19

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Solution

The fourth proportional to 280,298.67, 386,806.77 and 152,975.19 is: 211,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,298.67 : 386,806.77 = 152,975.19 : x
  2. Step 2: Convert to fraction form
    280,298.67/386,806.77 = 152,975.19/x
  3. Step 3: Cross multiply
    280,298.67x = 386,806.77 × 152,975.19
  4. Step 4: Simplify right side
    280,298.67x = 59,171,839,134.04
  5. Step 5: Solve for x
    x = 59,171,839,134.04/280,298.67
  6. Step 6: Final answer
    x = 211,102.82

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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.