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Finding the Fourth Proportional to 398,005.04, 597,012.16 and 170,269.68

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Solution

The fourth proportional to 398,005.04, 597,012.16 and 170,269.68 is: 255,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,005.04 : 597,012.16 = 170,269.68 : x
  2. Step 2: Convert to fraction form
    398,005.04/597,012.16 = 170,269.68/x
  3. Step 3: Cross multiply
    398,005.04x = 597,012.16 × 170,269.68
  4. Step 4: Simplify right side
    398,005.04x = 101,653,069,439.31
  5. Step 5: Solve for x
    x = 101,653,069,439.31/398,005.04
  6. Step 6: Final answer
    x = 255,406.49

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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.