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Finding the Fourth Proportional to 391,655, 540,487.20 and 212,807

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Solution

The fourth proportional to 391,655, 540,487.20 and 212,807 is: 293,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,655 : 540,487.20 = 212,807 : x
  2. Step 2: Convert to fraction form
    391,655/540,487.20 = 212,807/x
  3. Step 3: Cross multiply
    391,655x = 540,487.20 × 212,807
  4. Step 4: Simplify right side
    391,655x = 115,019,459,570.40
  5. Step 5: Solve for x
    x = 115,019,459,570.40/391,655
  6. Step 6: Final answer
    x = 293,675.45

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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.