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Finding the Fourth Proportional to 306,754.20, 460,802.16 and 218,574.36

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Solution

The fourth proportional to 306,754.20, 460,802.16 and 218,574.36 is: 328,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,754.20 : 460,802.16 = 218,574.36 : x
  2. Step 2: Convert to fraction form
    306,754.20/460,802.16 = 218,574.36/x
  3. Step 3: Cross multiply
    306,754.20x = 460,802.16 × 218,574.36
  4. Step 4: Simplify right side
    306,754.20x = 100,719,537,208.62
  5. Step 5: Solve for x
    x = 100,719,537,208.62/306,754.20
  6. Step 6: Final answer
    x = 328,339.55

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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.