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Finding the Fourth Proportional to 539,417.82, 744,371.36 and 309,813.60

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Solution

The fourth proportional to 539,417.82, 744,371.36 and 309,813.60 is: 427,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,417.82 : 744,371.36 = 309,813.60 : x
  2. Step 2: Convert to fraction form
    539,417.82/744,371.36 = 309,813.60/x
  3. Step 3: Cross multiply
    539,417.82x = 744,371.36 × 309,813.60
  4. Step 4: Simplify right side
    539,417.82x = 230,616,370,778.50
  5. Step 5: Solve for x
    x = 230,616,370,778.50/539,417.82
  6. Step 6: Final answer
    x = 427,528.28

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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.