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Finding the Fourth Proportional to 539,678.45, 809,506.31 and 179,875.32

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Solution

The fourth proportional to 539,678.45, 809,506.31 and 179,875.32 is: 269,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,678.45 : 809,506.31 = 179,875.32 : x
  2. Step 2: Convert to fraction form
    539,678.45/809,506.31 = 179,875.32/x
  3. Step 3: Cross multiply
    539,678.45x = 809,506.31 × 179,875.32
  4. Step 4: Simplify right side
    539,678.45x = 145,610,205,653.89
  5. Step 5: Solve for x
    x = 145,610,205,653.89/539,678.45
  6. Step 6: Final answer
    x = 269,809.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.