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Finding the Fourth Proportional to 419,143.84, 578,106.56 and 266,049.04

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Solution

The fourth proportional to 419,143.84, 578,106.56 and 266,049.04 is: 366,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,143.84 : 578,106.56 = 266,049.04 : x
  2. Step 2: Convert to fraction form
    419,143.84/578,106.56 = 266,049.04/x
  3. Step 3: Cross multiply
    419,143.84x = 578,106.56 × 266,049.04
  4. Step 4: Simplify right side
    419,143.84x = 153,804,695,305.70
  5. Step 5: Solve for x
    x = 153,804,695,305.70/419,143.84
  6. Step 6: Final answer
    x = 366,949.67

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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.