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Finding the Fourth Proportional to 310,298.30, 465,438.14 and 85,672.44

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Solution

The fourth proportional to 310,298.30, 465,438.14 and 85,672.44 is: 128,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,298.30 : 465,438.14 = 85,672.44 : x
  2. Step 2: Convert to fraction form
    310,298.30/465,438.14 = 85,672.44/x
  3. Step 3: Cross multiply
    310,298.30x = 465,438.14 × 85,672.44
  4. Step 4: Simplify right side
    310,298.30x = 39,875,220,694.50
  5. Step 5: Solve for x
    x = 39,875,220,694.50/310,298.30
  6. Step 6: Final answer
    x = 128,506.09

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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.