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Finding the Fourth Proportional to 405,438.81, 559,501.59 and 224,155.14

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Solution

The fourth proportional to 405,438.81, 559,501.59 and 224,155.14 is: 309,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,438.81 : 559,501.59 = 224,155.14 : x
  2. Step 2: Convert to fraction form
    405,438.81/559,501.59 = 224,155.14/x
  3. Step 3: Cross multiply
    405,438.81x = 559,501.59 × 224,155.14
  4. Step 4: Simplify right side
    405,438.81x = 125,415,157,236.67
  5. Step 5: Solve for x
    x = 125,415,157,236.67/405,438.81
  6. Step 6: Final answer
    x = 309,331.90

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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.