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Finding the Fourth Proportional to 378,539.76, 567,809.62 and 98,057

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Solution

The fourth proportional to 378,539.76, 567,809.62 and 98,057 is: 147,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,539.76 : 567,809.62 = 98,057 : x
  2. Step 2: Convert to fraction form
    378,539.76/567,809.62 = 98,057/x
  3. Step 3: Cross multiply
    378,539.76x = 567,809.62 × 98,057
  4. Step 4: Simplify right side
    378,539.76x = 55,677,707,908.34
  5. Step 5: Solve for x
    x = 55,677,707,908.34/378,539.76
  6. Step 6: Final answer
    x = 147,085.49

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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.