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Finding the Fourth Proportional to 201,865.40, 302,798.10 and 197,718.20

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Solution

The fourth proportional to 201,865.40, 302,798.10 and 197,718.20 is: 296,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,865.40 : 302,798.10 = 197,718.20 : x
  2. Step 2: Convert to fraction form
    201,865.40/302,798.10 = 197,718.20/x
  3. Step 3: Cross multiply
    201,865.40x = 302,798.10 × 197,718.20
  4. Step 4: Simplify right side
    201,865.40x = 59,868,695,295.42
  5. Step 5: Solve for x
    x = 59,868,695,295.42/201,865.40
  6. Step 6: Final answer
    x = 296,577.30

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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.