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Finding the Fourth Proportional to 421,155.82, 581,193.63 and 230,169.16

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Solution

The fourth proportional to 421,155.82, 581,193.63 and 230,169.16 is: 317,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,155.82 : 581,193.63 = 230,169.16 : x
  2. Step 2: Convert to fraction form
    421,155.82/581,193.63 = 230,169.16/x
  3. Step 3: Cross multiply
    421,155.82x = 581,193.63 × 230,169.16
  4. Step 4: Simplify right side
    421,155.82x = 133,772,849,614.45
  5. Step 5: Solve for x
    x = 133,772,849,614.45/421,155.82
  6. Step 6: Final answer
    x = 317,632.67

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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.