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Finding the Fourth Proportional to 216,384.74, 298,608.90 and 120,907.88

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Solution

The fourth proportional to 216,384.74, 298,608.90 and 120,907.88 is: 166,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,384.74 : 298,608.90 = 120,907.88 : x
  2. Step 2: Convert to fraction form
    216,384.74/298,608.90 = 120,907.88/x
  3. Step 3: Cross multiply
    216,384.74x = 298,608.90 × 120,907.88
  4. Step 4: Simplify right side
    216,384.74x = 36,104,169,048.13
  5. Step 5: Solve for x
    x = 36,104,169,048.13/216,384.74
  6. Step 6: Final answer
    x = 166,851.73

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1.5x scale

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.