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Finding the Fourth Proportional to 201,141.20, 282,385 and 201,141.20

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Solution

The fourth proportional to 201,141.20, 282,385 and 201,141.20 is: 282,385

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,141.20 : 282,385 = 201,141.20 : x
  2. Step 2: Convert to fraction form
    201,141.20/282,385 = 201,141.20/x
  3. Step 3: Cross multiply
    201,141.20x = 282,385 × 201,141.20
  4. Step 4: Simplify right side
    201,141.20x = 56,799,257,762
  5. Step 5: Solve for x
    x = 56,799,257,762/201,141.20
  6. Step 6: Final answer
    x = 282,385

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.