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Finding the Fourth Proportional to 1,429,883.82, 1,973,231.46 and 776,503.44

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Solution

The fourth proportional to 1,429,883.82, 1,973,231.46 and 776,503.44 is: 1,071,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,883.82 : 1,973,231.46 = 776,503.44 : x
  2. Step 2: Convert to fraction form
    1,429,883.82/1,973,231.46 = 776,503.44/x
  3. Step 3: Cross multiply
    1,429,883.82x = 1,973,231.46 × 776,503.44
  4. Step 4: Simplify right side
    1,429,883.82x = 1,532,221,016,606.22
  5. Step 5: Solve for x
    x = 1,532,221,016,606.22/1,429,883.82
  6. Step 6: Final answer
    x = 1,071,570.29

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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.