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Finding the Fourth Proportional to 382,659.46, 528,070.05 and 212,893.54

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Solution

The fourth proportional to 382,659.46, 528,070.05 and 212,893.54 is: 293,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,659.46 : 528,070.05 = 212,893.54 : x
  2. Step 2: Convert to fraction form
    382,659.46/528,070.05 = 212,893.54/x
  3. Step 3: Cross multiply
    382,659.46x = 528,070.05 × 212,893.54
  4. Step 4: Simplify right side
    382,659.46x = 112,422,702,312.48
  5. Step 5: Solve for x
    x = 112,422,702,312.48/382,659.46
  6. Step 6: Final answer
    x = 293,793.08

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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.