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Finding the Fourth Proportional to 490,652.40, 735,978.60 and 153,721.20

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Solution

The fourth proportional to 490,652.40, 735,978.60 and 153,721.20 is: 230,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,652.40 : 735,978.60 = 153,721.20 : x
  2. Step 2: Convert to fraction form
    490,652.40/735,978.60 = 153,721.20/x
  3. Step 3: Cross multiply
    490,652.40x = 735,978.60 × 153,721.20
  4. Step 4: Simplify right side
    490,652.40x = 113,135,513,566.32
  5. Step 5: Solve for x
    x = 113,135,513,566.32/490,652.40
  6. Step 6: Final answer
    x = 230,581.80

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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.