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Finding the Fourth Proportional to 1,429,645.82, 1,972,933.90 and 776,271.47

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Solution

The fourth proportional to 1,429,645.82, 1,972,933.90 and 776,271.47 is: 1,071,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,645.82 : 1,972,933.90 = 776,271.47 : x
  2. Step 2: Convert to fraction form
    1,429,645.82/1,972,933.90 = 776,271.47/x
  3. Step 3: Cross multiply
    1,429,645.82x = 1,972,933.90 × 776,271.47
  4. Step 4: Simplify right side
    1,429,645.82x = 1,531,532,301,757.49
  5. Step 5: Solve for x
    x = 1,531,532,301,757.49/1,429,645.82
  6. Step 6: Final answer
    x = 1,071,266.94

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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.