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Finding the Fourth Proportional to 391,902, 540,829.08 and 213,054

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Solution

The fourth proportional to 391,902, 540,829.08 and 213,054 is: 294,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,902 : 540,829.08 = 213,054 : x
  2. Step 2: Convert to fraction form
    391,902/540,829.08 = 213,054/x
  3. Step 3: Cross multiply
    391,902x = 540,829.08 × 213,054
  4. Step 4: Simplify right side
    391,902x = 115,225,798,810.32
  5. Step 5: Solve for x
    x = 115,225,798,810.32/391,902
  6. Step 6: Final answer
    x = 294,016.87

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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.