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Finding the Fourth Proportional to 490,236.32, 735,355.02 and 153,278.72

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Solution

The fourth proportional to 490,236.32, 735,355.02 and 153,278.72 is: 229,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,236.32 : 735,355.02 = 153,278.72 : x
  2. Step 2: Convert to fraction form
    490,236.32/735,355.02 = 153,278.72/x
  3. Step 3: Cross multiply
    490,236.32x = 735,355.02 × 153,278.72
  4. Step 4: Simplify right side
    490,236.32x = 112,714,276,211.17
  5. Step 5: Solve for x
    x = 112,714,276,211.17/490,236.32
  6. Step 6: Final answer
    x = 229,918.25

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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.