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Finding the Fourth Proportional to 418,703.62, 628,075.95 and 119,205.22

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Solution

The fourth proportional to 418,703.62, 628,075.95 and 119,205.22 is: 178,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,703.62 : 628,075.95 = 119,205.22 : x
  2. Step 2: Convert to fraction form
    418,703.62/628,075.95 = 119,205.22/x
  3. Step 3: Cross multiply
    418,703.62x = 628,075.95 × 119,205.22
  4. Step 4: Simplify right side
    418,703.62x = 74,869,931,796.46
  5. Step 5: Solve for x
    x = 74,869,931,796.46/418,703.62
  6. Step 6: Final answer
    x = 178,813.67

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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.