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Finding the Fourth Proportional to 382,920.84, 528,392.58 and 221,827.74

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Solution

The fourth proportional to 382,920.84, 528,392.58 and 221,827.74 is: 306,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,920.84 : 528,392.58 = 221,827.74 : x
  2. Step 2: Convert to fraction form
    382,920.84/528,392.58 = 221,827.74/x
  3. Step 3: Cross multiply
    382,920.84x = 528,392.58 × 221,827.74
  4. Step 4: Simplify right side
    382,920.84x = 117,212,131,854.17
  5. Step 5: Solve for x
    x = 117,212,131,854.17/382,920.84
  6. Step 6: Final answer
    x = 306,100.16

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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.