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Finding the Fourth Proportional to 201,430.08, 301,498.34 and 133,806.15

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Solution

The fourth proportional to 201,430.08, 301,498.34 and 133,806.15 is: 200,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,430.08 : 301,498.34 = 133,806.15 : x
  2. Step 2: Convert to fraction form
    201,430.08/301,498.34 = 133,806.15/x
  3. Step 3: Cross multiply
    201,430.08x = 301,498.34 × 133,806.15
  4. Step 4: Simplify right side
    201,430.08x = 40,342,331,437.76
  5. Step 5: Solve for x
    x = 40,342,331,437.76/201,430.08
  6. Step 6: Final answer
    x = 200,279.58

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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.