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Finding the Fourth Proportional to 421,223.76, 581,289.08 and 230,237.15

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Solution

The fourth proportional to 421,223.76, 581,289.08 and 230,237.15 is: 317,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,223.76 : 581,289.08 = 230,237.15 : x
  2. Step 2: Convert to fraction form
    421,223.76/581,289.08 = 230,237.15/x
  3. Step 3: Cross multiply
    421,223.76x = 581,289.08 × 230,237.15
  4. Step 4: Simplify right side
    421,223.76x = 133,834,337,047.69
  5. Step 5: Solve for x
    x = 133,834,337,047.69/421,223.76
  6. Step 6: Final answer
    x = 317,727.42

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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.