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Finding the Fourth Proportional to 391,628, 540,448.08 and 212,780

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Solution

The fourth proportional to 391,628, 540,448.08 and 212,780 is: 293,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,628 : 540,448.08 = 212,780 : x
  2. Step 2: Convert to fraction form
    391,628/540,448.08 = 212,780/x
  3. Step 3: Cross multiply
    391,628x = 540,448.08 × 212,780
  4. Step 4: Simplify right side
    391,628x = 114,996,542,462.40
  5. Step 5: Solve for x
    x = 114,996,542,462.40/391,628
  6. Step 6: Final answer
    x = 293,637.18

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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.