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Finding the Fourth Proportional to 380,422.74, 524,982.54 and 219,276.69

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Solution

The fourth proportional to 380,422.74, 524,982.54 and 219,276.69 is: 302,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,422.74 : 524,982.54 = 219,276.69 : x
  2. Step 2: Convert to fraction form
    380,422.74/524,982.54 = 219,276.69/x
  3. Step 3: Cross multiply
    380,422.74x = 524,982.54 × 219,276.69
  4. Step 4: Simplify right side
    380,422.74x = 115,116,433,678.99
  5. Step 5: Solve for x
    x = 115,116,433,678.99/380,422.74
  6. Step 6: Final answer
    x = 302,601.35

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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.