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Finding the Fourth Proportional to 423,034.36, 634,218.72 and 209,655.66

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Solution

The fourth proportional to 423,034.36, 634,218.72 and 209,655.66 is: 314,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,034.36 : 634,218.72 = 209,655.66 : x
  2. Step 2: Convert to fraction form
    423,034.36/634,218.72 = 209,655.66/x
  3. Step 3: Cross multiply
    423,034.36x = 634,218.72 × 209,655.66
  4. Step 4: Simplify right side
    423,034.36x = 132,967,544,325.96
  5. Step 5: Solve for x
    x = 132,967,544,325.96/423,034.36
  6. Step 6: Final answer
    x = 314,318.54

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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.