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Finding the Fourth Proportional to 406,129.81, 608,741.60 and 169,393.81

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Solution

The fourth proportional to 406,129.81, 608,741.60 and 169,393.81 is: 253,901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,129.81 : 608,741.60 = 169,393.81 : x
  2. Step 2: Convert to fraction form
    406,129.81/608,741.60 = 169,393.81/x
  3. Step 3: Cross multiply
    406,129.81x = 608,741.60 × 169,393.81
  4. Step 4: Simplify right side
    406,129.81x = 103,117,058,082.53
  5. Step 5: Solve for x
    x = 103,117,058,082.53/406,129.81
  6. Step 6: Final answer
    x = 253,901.72

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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.