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Finding the Fourth Proportional to 1,412,425.53, 1,947,317.69 and 914,824.08

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Solution

The fourth proportional to 1,412,425.53, 1,947,317.69 and 914,824.08 is: 1,261,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,425.53 : 1,947,317.69 = 914,824.08 : x
  2. Step 2: Convert to fraction form
    1,412,425.53/1,947,317.69 = 914,824.08/x
  3. Step 3: Cross multiply
    1,412,425.53x = 1,947,317.69 × 914,824.08
  4. Step 4: Simplify right side
    1,412,425.53x = 1,781,453,116,509.04
  5. Step 5: Solve for x
    x = 1,781,453,116,509.04/1,412,425.53
  6. Step 6: Final answer
    x = 1,261,272.24

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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.