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Finding the Fourth Proportional to 426,021, 638,670.54 and 285,349

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Solution

The fourth proportional to 426,021, 638,670.54 and 285,349 is: 427,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,021 : 638,670.54 = 285,349 : x
  2. Step 2: Convert to fraction form
    426,021/638,670.54 = 285,349/x
  3. Step 3: Cross multiply
    426,021x = 638,670.54 × 285,349
  4. Step 4: Simplify right side
    426,021x = 182,243,999,918.46
  5. Step 5: Solve for x
    x = 182,243,999,918.46/426,021
  6. Step 6: Final answer
    x = 427,781.73

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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.