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Finding the Fourth Proportional to 342,740.78, 513,216.93 and 275,815.34

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Solution

The fourth proportional to 342,740.78, 513,216.93 and 275,815.34 is: 413,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,740.78 : 513,216.93 = 275,815.34 : x
  2. Step 2: Convert to fraction form
    342,740.78/513,216.93 = 275,815.34/x
  3. Step 3: Cross multiply
    342,740.78x = 513,216.93 × 275,815.34
  4. Step 4: Simplify right side
    342,740.78x = 141,553,102,041.71
  5. Step 5: Solve for x
    x = 141,553,102,041.71/342,740.78
  6. Step 6: Final answer
    x = 413,003.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.