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Finding the Fourth Proportional to 403,438.10, 606,469.35 and 285,923.30

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Solution

The fourth proportional to 403,438.10, 606,469.35 and 285,923.30 is: 429,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,438.10 : 606,469.35 = 285,923.30 : x
  2. Step 2: Convert to fraction form
    403,438.10/606,469.35 = 285,923.30/x
  3. Step 3: Cross multiply
    403,438.10x = 606,469.35 × 285,923.30
  4. Step 4: Simplify right side
    403,438.10x = 173,403,717,900.86
  5. Step 5: Solve for x
    x = 173,403,717,900.86/403,438.10
  6. Step 6: Final answer
    x = 429,814.93

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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.