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Finding the Fourth Proportional to 498,789.90, 748,289.94 and 161,804.24

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Solution

The fourth proportional to 498,789.90, 748,289.94 and 161,804.24 is: 242,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,789.90 : 748,289.94 = 161,804.24 : x
  2. Step 2: Convert to fraction form
    498,789.90/748,289.94 = 161,804.24/x
  3. Step 3: Cross multiply
    498,789.90x = 748,289.94 × 161,804.24
  4. Step 4: Simplify right side
    498,789.90x = 121,076,485,041.35
  5. Step 5: Solve for x
    x = 121,076,485,041.35/498,789.90
  6. Step 6: Final answer
    x = 242,740.45

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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.