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Finding the Fourth Proportional to 532,082.64, 734,400.12 and 305,859.60

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Solution

The fourth proportional to 532,082.64, 734,400.12 and 305,859.60 is: 422,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,082.64 : 734,400.12 = 305,859.60 : x
  2. Step 2: Convert to fraction form
    532,082.64/734,400.12 = 305,859.60/x
  3. Step 3: Cross multiply
    532,082.64x = 734,400.12 × 305,859.60
  4. Step 4: Simplify right side
    532,082.64x = 224,623,326,943.15
  5. Step 5: Solve for x
    x = 224,623,326,943.15/532,082.64
  6. Step 6: Final answer
    x = 422,158.72

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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.