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Finding the Fourth Proportional to 762,768, 1,052,619.84 and 423,290.88

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Solution

The fourth proportional to 762,768, 1,052,619.84 and 423,290.88 is: 584,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,768 : 1,052,619.84 = 423,290.88 : x
  2. Step 2: Convert to fraction form
    762,768/1,052,619.84 = 423,290.88/x
  3. Step 3: Cross multiply
    762,768x = 1,052,619.84 × 423,290.88
  4. Step 4: Simplify right side
    762,768x = 445,564,378,379.06
  5. Step 5: Solve for x
    x = 445,564,378,379.06/762,768
  6. Step 6: Final answer
    x = 584,141.41

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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.