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Finding the Fourth Proportional to 406,961.60, 610,661.10 and 170,328.20

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Solution

The fourth proportional to 406,961.60, 610,661.10 and 170,328.20 is: 255,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,961.60 : 610,661.10 = 170,328.20 : x
  2. Step 2: Convert to fraction form
    406,961.60/610,661.10 = 170,328.20/x
  3. Step 3: Cross multiply
    406,961.60x = 610,661.10 × 170,328.20
  4. Step 4: Simplify right side
    406,961.60x = 104,012,805,973.02
  5. Step 5: Solve for x
    x = 104,012,805,973.02/406,961.60
  6. Step 6: Final answer
    x = 255,583.83

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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.