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Finding the Fourth Proportional to 532,431.77, 734,751.20 and 290,713.19

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Solution

The fourth proportional to 532,431.77, 734,751.20 and 290,713.19 is: 401,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,431.77 : 734,751.20 = 290,713.19 : x
  2. Step 2: Convert to fraction form
    532,431.77/734,751.20 = 290,713.19/x
  3. Step 3: Cross multiply
    532,431.77x = 734,751.20 × 290,713.19
  4. Step 4: Simplify right side
    532,431.77x = 213,601,862,261.36
  5. Step 5: Solve for x
    x = 213,601,862,261.36/532,431.77
  6. Step 6: Final answer
    x = 401,181.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.