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Finding the Fourth Proportional to 405,140.40, 559,105.05 and 223,864.08

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Solution

The fourth proportional to 405,140.40, 559,105.05 and 223,864.08 is: 308,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,140.40 : 559,105.05 = 223,864.08 : x
  2. Step 2: Convert to fraction form
    405,140.40/559,105.05 = 223,864.08/x
  3. Step 3: Cross multiply
    405,140.40x = 559,105.05 × 223,864.08
  4. Step 4: Simplify right side
    405,140.40x = 125,163,537,641.60
  5. Step 5: Solve for x
    x = 125,163,537,641.60/405,140.40
  6. Step 6: Final answer
    x = 308,938.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.