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Finding the Fourth Proportional to 346,716.70, 520,075.05 and 206,748.70

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Solution

The fourth proportional to 346,716.70, 520,075.05 and 206,748.70 is: 310,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,716.70 : 520,075.05 = 206,748.70 : x
  2. Step 2: Convert to fraction form
    346,716.70/520,075.05 = 206,748.70/x
  3. Step 3: Cross multiply
    346,716.70x = 520,075.05 × 206,748.70
  4. Step 4: Simplify right side
    346,716.70x = 107,524,840,489.94
  5. Step 5: Solve for x
    x = 107,524,840,489.94/346,716.70
  6. Step 6: Final answer
    x = 310,123.05

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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.