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Finding the Fourth Proportional to 206,802.29, 310,357.83 and 153,617.08

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Solution

The fourth proportional to 206,802.29, 310,357.83 and 153,617.08 is: 230,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,802.29 : 310,357.83 = 153,617.08 : x
  2. Step 2: Convert to fraction form
    206,802.29/310,357.83 = 153,617.08/x
  3. Step 3: Cross multiply
    206,802.29x = 310,357.83 × 153,617.08
  4. Step 4: Simplify right side
    206,802.29x = 47,676,263,599.74
  5. Step 5: Solve for x
    x = 47,676,263,599.74/206,802.29
  6. Step 6: Final answer
    x = 230,540.31

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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.