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Finding the Fourth Proportional to 380,384.52, 524,930.64 and 210,618.66

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Solution

The fourth proportional to 380,384.52, 524,930.64 and 210,618.66 is: 290,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,384.52 : 524,930.64 = 210,618.66 : x
  2. Step 2: Convert to fraction form
    380,384.52/524,930.64 = 210,618.66/x
  3. Step 3: Cross multiply
    380,384.52x = 524,930.64 × 210,618.66
  4. Step 4: Simplify right side
    380,384.52x = 110,560,187,989.74
  5. Step 5: Solve for x
    x = 110,560,187,989.74/380,384.52
  6. Step 6: Final answer
    x = 290,653.75

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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.