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Finding the Fourth Proportional to 1,411,422.20, 1,947,728.94 and 766,827.80

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Solution

The fourth proportional to 1,411,422.20, 1,947,728.94 and 766,827.80 is: 1,058,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,422.20 : 1,947,728.94 = 766,827.80 : x
  2. Step 2: Convert to fraction form
    1,411,422.20/1,947,728.94 = 766,827.80/x
  3. Step 3: Cross multiply
    1,411,422.20x = 1,947,728.94 × 766,827.80
  4. Step 4: Simplify right side
    1,411,422.20x = 1,493,572,698,056.53
  5. Step 5: Solve for x
    x = 1,493,572,698,056.53/1,411,422.20
  6. Step 6: Final answer
    x = 1,058,204.06

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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.