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Finding the Fourth Proportional to 421,188, 581,238.36 and 230,202.72

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Solution

The fourth proportional to 421,188, 581,238.36 and 230,202.72 is: 317,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,188 : 581,238.36 = 230,202.72 : x
  2. Step 2: Convert to fraction form
    421,188/581,238.36 = 230,202.72/x
  3. Step 3: Cross multiply
    421,188x = 581,238.36 × 230,202.72
  4. Step 4: Simplify right side
    421,188x = 133,802,651,440.34
  5. Step 5: Solve for x
    x = 133,802,651,440.34/421,188
  6. Step 6: Final answer
    x = 317,679.16

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1.5x scale

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.