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Finding the Fourth Proportional to 392,213, 541,262.58 and 213,365

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Solution

The fourth proportional to 392,213, 541,262.58 and 213,365 is: 294,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,213 : 541,262.58 = 213,365 : x
  2. Step 2: Convert to fraction form
    392,213/541,262.58 = 213,365/x
  3. Step 3: Cross multiply
    392,213x = 541,262.58 × 213,365
  4. Step 4: Simplify right side
    392,213x = 115,486,490,381.70
  5. Step 5: Solve for x
    x = 115,486,490,381.70/392,213
  6. Step 6: Final answer
    x = 294,448.40

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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.