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Finding the Fourth Proportional to 200,069.60, 280,564 and 200,069.60

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Solution

The fourth proportional to 200,069.60, 280,564 and 200,069.60 is: 280,564

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,069.60 : 280,564 = 200,069.60 : x
  2. Step 2: Convert to fraction form
    200,069.60/280,564 = 200,069.60/x
  3. Step 3: Cross multiply
    200,069.60x = 280,564 × 200,069.60
  4. Step 4: Simplify right side
    200,069.60x = 56,132,327,254.40
  5. Step 5: Solve for x
    x = 56,132,327,254.40/200,069.60
  6. Step 6: Final answer
    x = 280,564

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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.