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Finding the Fourth Proportional to 619,509.44, 855,184 and 418,577.60

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Solution

The fourth proportional to 619,509.44, 855,184 and 418,577.60 is: 577,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,509.44 : 855,184 = 418,577.60 : x
  2. Step 2: Convert to fraction form
    619,509.44/855,184 = 418,577.60/x
  3. Step 3: Cross multiply
    619,509.44x = 855,184 × 418,577.60
  4. Step 4: Simplify right side
    619,509.44x = 357,960,866,278.40
  5. Step 5: Solve for x
    x = 357,960,866,278.40/619,509.44
  6. Step 6: Final answer
    x = 577,813.42

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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.