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Finding the Fourth Proportional to 405,113.95, 559,063.11 and 223,830.05

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Solution

The fourth proportional to 405,113.95, 559,063.11 and 223,830.05 is: 308,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,113.95 : 559,063.11 = 223,830.05 : x
  2. Step 2: Convert to fraction form
    405,113.95/559,063.11 = 223,830.05/x
  3. Step 3: Cross multiply
    405,113.95x = 559,063.11 × 223,830.05
  4. Step 4: Simplify right side
    405,113.95x = 125,135,123,864.46
  5. Step 5: Solve for x
    x = 125,135,123,864.46/405,113.95
  6. Step 6: Final answer
    x = 308,888.71

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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.