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Finding the Fourth Proportional to 426,024, 638,675.04 and 285,352

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Solution

The fourth proportional to 426,024, 638,675.04 and 285,352 is: 427,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,024 : 638,675.04 = 285,352 : x
  2. Step 2: Convert to fraction form
    426,024/638,675.04 = 285,352/x
  3. Step 3: Cross multiply
    426,024x = 638,675.04 × 285,352
  4. Step 4: Simplify right side
    426,024x = 182,247,200,014.08
  5. Step 5: Solve for x
    x = 182,247,200,014.08/426,024
  6. Step 6: Final answer
    x = 427,786.23

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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.