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Finding the Fourth Proportional to 490,140.60, 735,210.90 and 194,652.60

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Solution

The fourth proportional to 490,140.60, 735,210.90 and 194,652.60 is: 291,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,140.60 : 735,210.90 = 194,652.60 : x
  2. Step 2: Convert to fraction form
    490,140.60/735,210.90 = 194,652.60/x
  3. Step 3: Cross multiply
    490,140.60x = 735,210.90 × 194,652.60
  4. Step 4: Simplify right side
    490,140.60x = 143,110,713,233.34
  5. Step 5: Solve for x
    x = 143,110,713,233.34/490,140.60
  6. Step 6: Final answer
    x = 291,978.90

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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.