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Finding the Fourth Proportional to 280,286.71, 386,804.71 and 159,424.89

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Solution

The fourth proportional to 280,286.71, 386,804.71 and 159,424.89 is: 220,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,286.71 : 386,804.71 = 159,424.89 : x
  2. Step 2: Convert to fraction form
    280,286.71/386,804.71 = 159,424.89/x
  3. Step 3: Cross multiply
    280,286.71x = 386,804.71 × 159,424.89
  4. Step 4: Simplify right side
    280,286.71x = 61,666,298,343.23
  5. Step 5: Solve for x
    x = 61,666,298,343.23/280,286.71
  6. Step 6: Final answer
    x = 220,011.50

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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.