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Finding the Fourth Proportional to 431,150.64, 594,509.40 and 353,390.64

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Solution

The fourth proportional to 431,150.64, 594,509.40 and 353,390.64 is: 487,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,150.64 : 594,509.40 = 353,390.64 : x
  2. Step 2: Convert to fraction form
    431,150.64/594,509.40 = 353,390.64/x
  3. Step 3: Cross multiply
    431,150.64x = 594,509.40 × 353,390.64
  4. Step 4: Simplify right side
    431,150.64x = 210,094,057,352.02
  5. Step 5: Solve for x
    x = 210,094,057,352.02/431,150.64
  6. Step 6: Final answer
    x = 487,286.90

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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.