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Finding the Fourth Proportional to 1,429,393.53, 1,972,597.31 and 776,047.04

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Solution

The fourth proportional to 1,429,393.53, 1,972,597.31 and 776,047.04 is: 1,070,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,393.53 : 1,972,597.31 = 776,047.04 : x
  2. Step 2: Convert to fraction form
    1,429,393.53/1,972,597.31 = 776,047.04/x
  3. Step 3: Cross multiply
    1,429,393.53x = 1,972,597.31 × 776,047.04
  4. Step 4: Simplify right side
    1,429,393.53x = 1,530,828,296,736.36
  5. Step 5: Solve for x
    x = 1,530,828,296,736.36/1,429,393.53
  6. Step 6: Final answer
    x = 1,070,963.50

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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.