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Finding the Fourth Proportional to 421,270.88, 581,353.81 and 230,285.63

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Solution

The fourth proportional to 421,270.88, 581,353.81 and 230,285.63 is: 317,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,270.88 : 581,353.81 = 230,285.63 : x
  2. Step 2: Convert to fraction form
    421,270.88/581,353.81 = 230,285.63/x
  3. Step 3: Cross multiply
    421,270.88x = 581,353.81 × 230,285.63
  4. Step 4: Simplify right side
    421,270.88x = 133,877,429,266.42
  5. Step 5: Solve for x
    x = 133,877,429,266.42/421,270.88
  6. Step 6: Final answer
    x = 317,794.17

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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.