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Finding the Fourth Proportional to 200,530.50, 300,595.59 and 100,384.98

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Solution

The fourth proportional to 200,530.50, 300,595.59 and 100,384.98 is: 150,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530.50 : 300,595.59 = 100,384.98 : x
  2. Step 2: Convert to fraction form
    200,530.50/300,595.59 = 100,384.98/x
  3. Step 3: Cross multiply
    200,530.50x = 300,595.59 × 100,384.98
  4. Step 4: Simplify right side
    200,530.50x = 30,175,282,290.24
  5. Step 5: Solve for x
    x = 30,175,282,290.24/200,530.50
  6. Step 6: Final answer
    x = 150,477.27

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1.5x scale

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.