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Finding the Fourth Proportional to 1,381,507, 2,072,377.16 and 384,235

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Solution

The fourth proportional to 1,381,507, 2,072,377.16 and 384,235 is: 576,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,507 : 2,072,377.16 = 384,235 : x
  2. Step 2: Convert to fraction form
    1,381,507/2,072,377.16 = 384,235/x
  3. Step 3: Cross multiply
    1,381,507x = 2,072,377.16 × 384,235
  4. Step 4: Simplify right side
    1,381,507x = 796,279,838,072.60
  5. Step 5: Solve for x
    x = 796,279,838,072.60/1,381,507
  6. Step 6: Final answer
    x = 576,384.95

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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.