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Finding the Fourth Proportional to 380,540, 525,145.20 and 210,785.06

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Solution

The fourth proportional to 380,540, 525,145.20 and 210,785.06 is: 290,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,540 : 525,145.20 = 210,785.06 : x
  2. Step 2: Convert to fraction form
    380,540/525,145.20 = 210,785.06/x
  3. Step 3: Cross multiply
    380,540x = 525,145.20 × 210,785.06
  4. Step 4: Simplify right side
    380,540x = 110,692,762,490.71
  5. Step 5: Solve for x
    x = 110,692,762,490.71/380,540
  6. Step 6: Final answer
    x = 290,883.38

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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.