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Finding the Fourth Proportional to 391,904.13, 540,825.17 and 213,056.13

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Solution

The fourth proportional to 391,904.13, 540,825.17 and 213,056.13 is: 294,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,904.13 : 540,825.17 = 213,056.13 : x
  2. Step 2: Convert to fraction form
    391,904.13/540,825.17 = 213,056.13/x
  3. Step 3: Cross multiply
    391,904.13x = 540,825.17 × 213,056.13
  4. Step 4: Simplify right side
    391,904.13x = 115,226,116,661.51
  5. Step 5: Solve for x
    x = 115,226,116,661.51/391,904.13
  6. Step 6: Final answer
    x = 294,016.08

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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.