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Finding the Fourth Proportional to 474,521.84, 654,838.36 and 256,729.81

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Solution

The fourth proportional to 474,521.84, 654,838.36 and 256,729.81 is: 354,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,521.84 : 654,838.36 = 256,729.81 : x
  2. Step 2: Convert to fraction form
    474,521.84/654,838.36 = 256,729.81/x
  3. Step 3: Cross multiply
    474,521.84x = 654,838.36 × 256,729.81
  4. Step 4: Simplify right side
    474,521.84x = 168,116,527,743.51
  5. Step 5: Solve for x
    x = 168,116,527,743.51/474,521.84
  6. Step 6: Final answer
    x = 354,286.18

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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.