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Finding the Fourth Proportional to 285,298.84, 427,953.12 and 107,889.40

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Solution

The fourth proportional to 285,298.84, 427,953.12 and 107,889.40 is: 161,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,298.84 : 427,953.12 = 107,889.40 : x
  2. Step 2: Convert to fraction form
    285,298.84/427,953.12 = 107,889.40/x
  3. Step 3: Cross multiply
    285,298.84x = 427,953.12 × 107,889.40
  4. Step 4: Simplify right side
    285,298.84x = 46,171,605,344.93
  5. Step 5: Solve for x
    x = 46,171,605,344.93/285,298.84
  6. Step 6: Final answer
    x = 161,835.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.