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Finding the Fourth Proportional to 646,329.54, 969,044.61 and 286,304.94

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Solution

The fourth proportional to 646,329.54, 969,044.61 and 286,304.94 is: 429,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,329.54 : 969,044.61 = 286,304.94 : x
  2. Step 2: Convert to fraction form
    646,329.54/969,044.61 = 286,304.94/x
  3. Step 3: Cross multiply
    646,329.54x = 969,044.61 × 286,304.94
  4. Step 4: Simplify right side
    646,329.54x = 277,442,258,923.37
  5. Step 5: Solve for x
    x = 277,442,258,923.37/646,329.54
  6. Step 6: Final answer
    x = 429,258.21

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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.