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Finding the Fourth Proportional to 407,059.78, 561,926.02 and 352,394.50

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Solution

The fourth proportional to 407,059.78, 561,926.02 and 352,394.50 is: 486,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,059.78 : 561,926.02 = 352,394.50 : x
  2. Step 2: Convert to fraction form
    407,059.78/561,926.02 = 352,394.50/x
  3. Step 3: Cross multiply
    407,059.78x = 561,926.02 × 352,394.50
  4. Step 4: Simplify right side
    407,059.78x = 198,019,638,854.89
  5. Step 5: Solve for x
    x = 198,019,638,854.89/407,059.78
  6. Step 6: Final answer
    x = 486,463.29

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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.