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Finding the Fourth Proportional to 391,648.50, 540,478.23 and 212,800.50

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Solution

The fourth proportional to 391,648.50, 540,478.23 and 212,800.50 is: 293,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,648.50 : 540,478.23 = 212,800.50 : x
  2. Step 2: Convert to fraction form
    391,648.50/540,478.23 = 212,800.50/x
  3. Step 3: Cross multiply
    391,648.50x = 540,478.23 × 212,800.50
  4. Step 4: Simplify right side
    391,648.50x = 115,014,037,583.12
  5. Step 5: Solve for x
    x = 115,014,037,583.12/391,648.50
  6. Step 6: Final answer
    x = 293,666.48

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1.5x scale

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.