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Finding the Fourth Proportional to 306,808.58, 460,212.88 and 138,283.22

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Solution

The fourth proportional to 306,808.58, 460,212.88 and 138,283.22 is: 207,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,808.58 : 460,212.88 = 138,283.22 : x
  2. Step 2: Convert to fraction form
    306,808.58/460,212.88 = 138,283.22/x
  3. Step 3: Cross multiply
    306,808.58x = 460,212.88 × 138,283.22
  4. Step 4: Simplify right side
    306,808.58x = 63,639,718,931.87
  5. Step 5: Solve for x
    x = 63,639,718,931.87/306,808.58
  6. Step 6: Final answer
    x = 207,424.83

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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.