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Finding the Fourth Proportional to 398,647.61, 597,632.73 and 185,539.28

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Solution

The fourth proportional to 398,647.61, 597,632.73 and 185,539.28 is: 278,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,647.61 : 597,632.73 = 185,539.28 : x
  2. Step 2: Convert to fraction form
    398,647.61/597,632.73 = 185,539.28/x
  3. Step 3: Cross multiply
    398,647.61x = 597,632.73 × 185,539.28
  4. Step 4: Simplify right side
    398,647.61x = 110,884,346,428.63
  5. Step 5: Solve for x
    x = 110,884,346,428.63/398,647.61
  6. Step 6: Final answer
    x = 278,151.29

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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.