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Finding the Fourth Proportional to 425,852, 637,449.32 and 313,658.88

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Solution

The fourth proportional to 425,852, 637,449.32 and 313,658.88 is: 469,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,852 : 637,449.32 = 313,658.88 : x
  2. Step 2: Convert to fraction form
    425,852/637,449.32 = 313,658.88/x
  3. Step 3: Cross multiply
    425,852x = 637,449.32 × 313,658.88
  4. Step 4: Simplify right side
    425,852x = 199,941,639,767.96
  5. Step 5: Solve for x
    x = 199,941,639,767.96/425,852
  6. Step 6: Final answer
    x = 469,509.69

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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.