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Finding the Fourth Proportional to 201,897.01, 278,359.08 and 165,464.32

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Solution

The fourth proportional to 201,897.01, 278,359.08 and 165,464.32 is: 228,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897.01 : 278,359.08 = 165,464.32 : x
  2. Step 2: Convert to fraction form
    201,897.01/278,359.08 = 165,464.32/x
  3. Step 3: Cross multiply
    201,897.01x = 278,359.08 × 165,464.32
  4. Step 4: Simplify right side
    201,897.01x = 46,058,496,024.30
  5. Step 5: Solve for x
    x = 46,058,496,024.30/201,897.01
  6. Step 6: Final answer
    x = 228,128.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.