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Finding the Fourth Proportional to 304,727.32, 420,574.98 and 177,478.48

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Solution

The fourth proportional to 304,727.32, 420,574.98 and 177,478.48 is: 244,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,727.32 : 420,574.98 = 177,478.48 : x
  2. Step 2: Convert to fraction form
    304,727.32/420,574.98 = 177,478.48/x
  3. Step 3: Cross multiply
    304,727.32x = 420,574.98 × 177,478.48
  4. Step 4: Simplify right side
    304,727.32x = 74,643,008,176.43
  5. Step 5: Solve for x
    x = 74,643,008,176.43/304,727.32
  6. Step 6: Final answer
    x = 244,950.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.