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Finding the Fourth Proportional to 382,894.16, 528,411.48 and 213,139.28

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Solution

The fourth proportional to 382,894.16, 528,411.48 and 213,139.28 is: 294,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,894.16 : 528,411.48 = 213,139.28 : x
  2. Step 2: Convert to fraction form
    382,894.16/528,411.48 = 213,139.28/x
  3. Step 3: Cross multiply
    382,894.16x = 528,411.48 × 213,139.28
  4. Step 4: Simplify right side
    382,894.16x = 112,625,242,390.93
  5. Step 5: Solve for x
    x = 112,625,242,390.93/382,894.16
  6. Step 6: Final answer
    x = 294,141.97

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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.