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Finding the Fourth Proportional to 748,414.08, 1,032,808.32 and 408,888

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Solution

The fourth proportional to 748,414.08, 1,032,808.32 and 408,888 is: 564,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,414.08 : 1,032,808.32 = 408,888 : x
  2. Step 2: Convert to fraction form
    748,414.08/1,032,808.32 = 408,888/x
  3. Step 3: Cross multiply
    748,414.08x = 1,032,808.32 × 408,888
  4. Step 4: Simplify right side
    748,414.08x = 422,302,928,348.16
  5. Step 5: Solve for x
    x = 422,302,928,348.16/748,414.08
  6. Step 6: Final answer
    x = 564,263.74

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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.