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Finding the Fourth Proportional to 513,455.49, 708,482.70 and 298,604.61

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Solution

The fourth proportional to 513,455.49, 708,482.70 and 298,604.61 is: 412,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,455.49 : 708,482.70 = 298,604.61 : x
  2. Step 2: Convert to fraction form
    513,455.49/708,482.70 = 298,604.61/x
  3. Step 3: Cross multiply
    513,455.49x = 708,482.70 × 298,604.61
  4. Step 4: Simplify right side
    513,455.49x = 211,556,200,325.25
  5. Step 5: Solve for x
    x = 211,556,200,325.25/513,455.49
  6. Step 6: Final answer
    x = 412,024.42

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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.