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Finding the Fourth Proportional to 515,101.40, 772,652.10 and 347,139.80

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Solution

The fourth proportional to 515,101.40, 772,652.10 and 347,139.80 is: 520,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,101.40 : 772,652.10 = 347,139.80 : x
  2. Step 2: Convert to fraction form
    515,101.40/772,652.10 = 347,139.80/x
  3. Step 3: Cross multiply
    515,101.40x = 772,652.10 × 347,139.80
  4. Step 4: Simplify right side
    515,101.40x = 268,218,295,463.58
  5. Step 5: Solve for x
    x = 268,218,295,463.58/515,101.40
  6. Step 6: Final answer
    x = 520,709.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.