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Finding the Fourth Proportional to 388,850, 536,613 and 210,002

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Solution

The fourth proportional to 388,850, 536,613 and 210,002 is: 289,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,850 : 536,613 = 210,002 : x
  2. Step 2: Convert to fraction form
    388,850/536,613 = 210,002/x
  3. Step 3: Cross multiply
    388,850x = 536,613 × 210,002
  4. Step 4: Simplify right side
    388,850x = 112,689,803,226
  5. Step 5: Solve for x
    x = 112,689,803,226/388,850
  6. Step 6: Final answer
    x = 289,802.76

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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.