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Finding the Fourth Proportional to 421,009.11, 581,032.04 and 230,050.80

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Solution

The fourth proportional to 421,009.11, 581,032.04 and 230,050.80 is: 317,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,009.11 : 581,032.04 = 230,050.80 : x
  2. Step 2: Convert to fraction form
    421,009.11/581,032.04 = 230,050.80/x
  3. Step 3: Cross multiply
    421,009.11x = 581,032.04 × 230,050.80
  4. Step 4: Simplify right side
    421,009.11x = 133,666,884,477.38
  5. Step 5: Solve for x
    x = 133,666,884,477.38/421,009.11
  6. Step 6: Final answer
    x = 317,491.67

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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.