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Finding the Fourth Proportional to 461,873.72, 637,164.56 and 289,705.47

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Solution

The fourth proportional to 461,873.72, 637,164.56 and 289,705.47 is: 399,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,873.72 : 637,164.56 = 289,705.47 : x
  2. Step 2: Convert to fraction form
    461,873.72/637,164.56 = 289,705.47/x
  3. Step 3: Cross multiply
    461,873.72x = 637,164.56 × 289,705.47
  4. Step 4: Simplify right side
    461,873.72x = 184,590,056,873.62
  5. Step 5: Solve for x
    x = 184,590,056,873.62/461,873.72
  6. Step 6: Final answer
    x = 399,654.82

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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.