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Finding the Fourth Proportional to 201,646.70, 302,470.05 and 141,512.30

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Solution

The fourth proportional to 201,646.70, 302,470.05 and 141,512.30 is: 212,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,646.70 : 302,470.05 = 141,512.30 : x
  2. Step 2: Convert to fraction form
    201,646.70/302,470.05 = 141,512.30/x
  3. Step 3: Cross multiply
    201,646.70x = 302,470.05 × 141,512.30
  4. Step 4: Simplify right side
    201,646.70x = 42,803,232,456.62
  5. Step 5: Solve for x
    x = 42,803,232,456.62/201,646.70
  6. Step 6: Final answer
    x = 212,268.45

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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.