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Finding the Fourth Proportional to 342,930.98, 473,475.83 and 214,065.65

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Solution

The fourth proportional to 342,930.98, 473,475.83 and 214,065.65 is: 295,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,930.98 : 473,475.83 = 214,065.65 : x
  2. Step 2: Convert to fraction form
    342,930.98/473,475.83 = 214,065.65/x
  3. Step 3: Cross multiply
    342,930.98x = 473,475.83 × 214,065.65
  4. Step 4: Simplify right side
    342,930.98x = 101,354,911,421.60
  5. Step 5: Solve for x
    x = 101,354,911,421.60/342,930.98
  6. Step 6: Final answer
    x = 295,554.84

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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.