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Finding the Fourth Proportional to 306,946.88, 460,299.36 and 149,128.64

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Solution

The fourth proportional to 306,946.88, 460,299.36 and 149,128.64 is: 223,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,946.88 : 460,299.36 = 149,128.64 : x
  2. Step 2: Convert to fraction form
    306,946.88/460,299.36 = 149,128.64/x
  3. Step 3: Cross multiply
    306,946.88x = 460,299.36 × 149,128.64
  4. Step 4: Simplify right side
    306,946.88x = 68,643,817,549.67
  5. Step 5: Solve for x
    x = 68,643,817,549.67/306,946.88
  6. Step 6: Final answer
    x = 223,634.19

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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.