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Finding the Fourth Proportional to 421,053.57, 581,047.02 and 230,062.86

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Solution

The fourth proportional to 421,053.57, 581,047.02 and 230,062.86 is: 317,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,053.57 : 581,047.02 = 230,062.86 : x
  2. Step 2: Convert to fraction form
    421,053.57/581,047.02 = 230,062.86/x
  3. Step 3: Cross multiply
    421,053.57x = 581,047.02 × 230,062.86
  4. Step 4: Simplify right side
    421,053.57x = 133,677,339,215.68
  5. Step 5: Solve for x
    x = 133,677,339,215.68/421,053.57
  6. Step 6: Final answer
    x = 317,482.97

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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.