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Finding the Fourth Proportional to 200,407.64, 300,646.08 and 67,300.76

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Solution

The fourth proportional to 200,407.64, 300,646.08 and 67,300.76 is: 100,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,407.64 : 300,646.08 = 67,300.76 : x
  2. Step 2: Convert to fraction form
    200,407.64/300,646.08 = 67,300.76/x
  3. Step 3: Cross multiply
    200,407.64x = 300,646.08 × 67,300.76
  4. Step 4: Simplify right side
    200,407.64x = 20,233,709,675.02
  5. Step 5: Solve for x
    x = 20,233,709,675.02/200,407.64
  6. Step 6: Final answer
    x = 100,962.77

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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.