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Finding the Fourth Proportional to 421,373.13, 581,490.94 and 230,384.49

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Solution

The fourth proportional to 421,373.13, 581,490.94 and 230,384.49 is: 317,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,373.13 : 581,490.94 = 230,384.49 : x
  2. Step 2: Convert to fraction form
    421,373.13/581,490.94 = 230,384.49/x
  3. Step 3: Cross multiply
    421,373.13x = 581,490.94 × 230,384.49
  4. Step 4: Simplify right side
    421,373.13x = 133,966,493,651.52
  5. Step 5: Solve for x
    x = 133,966,493,651.52/421,373.13
  6. Step 6: Final answer
    x = 317,928.42

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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.