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Finding the Fourth Proportional to 1,411,947.54, 1,948,502.67 and 767,367.78

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Solution

The fourth proportional to 1,411,947.54, 1,948,502.67 and 767,367.78 is: 1,058,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,947.54 : 1,948,502.67 = 767,367.78 : x
  2. Step 2: Convert to fraction form
    1,411,947.54/1,948,502.67 = 767,367.78/x
  3. Step 3: Cross multiply
    1,411,947.54x = 1,948,502.67 × 767,367.78
  4. Step 4: Simplify right side
    1,411,947.54x = 1,495,218,168,201.97
  5. Step 5: Solve for x
    x = 1,495,218,168,201.97/1,411,947.54
  6. Step 6: Final answer
    x = 1,058,975.72

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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.