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Finding the Fourth Proportional to 388,865, 536,633.70 and 210,017

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Solution

The fourth proportional to 388,865, 536,633.70 and 210,017 is: 289,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,865 : 536,633.70 = 210,017 : x
  2. Step 2: Convert to fraction form
    388,865/536,633.70 = 210,017/x
  3. Step 3: Cross multiply
    388,865x = 536,633.70 × 210,017
  4. Step 4: Simplify right side
    388,865x = 112,702,199,772.90
  5. Step 5: Solve for x
    x = 112,702,199,772.90/388,865
  6. Step 6: Final answer
    x = 289,823.46

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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.