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Finding the Fourth Proportional to 389,000, 536,820 and 210,152

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Solution

The fourth proportional to 389,000, 536,820 and 210,152 is: 290,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,000 : 536,820 = 210,152 : x
  2. Step 2: Convert to fraction form
    389,000/536,820 = 210,152/x
  3. Step 3: Cross multiply
    389,000x = 536,820 × 210,152
  4. Step 4: Simplify right side
    389,000x = 112,813,796,640
  5. Step 5: Solve for x
    x = 112,813,796,640/389,000
  6. Step 6: Final answer
    x = 290,009.76

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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.