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Finding the Fourth Proportional to 382,885.68, 528,382.20 and 213,116.16

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Solution

The fourth proportional to 382,885.68, 528,382.20 and 213,116.16 is: 294,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,885.68 : 528,382.20 = 213,116.16 : x
  2. Step 2: Convert to fraction form
    382,885.68/528,382.20 = 213,116.16/x
  3. Step 3: Cross multiply
    382,885.68x = 528,382.20 × 213,116.16
  4. Step 4: Simplify right side
    382,885.68x = 112,606,785,476.35
  5. Step 5: Solve for x
    x = 112,606,785,476.35/382,885.68
  6. Step 6: Final answer
    x = 294,100.28

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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.