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Finding the Fourth Proportional to 511,733.24, 767,220.76 and 245,240

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Solution

The fourth proportional to 511,733.24, 767,220.76 and 245,240 is: 367,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,733.24 : 767,220.76 = 245,240 : x
  2. Step 2: Convert to fraction form
    511,733.24/767,220.76 = 245,240/x
  3. Step 3: Cross multiply
    511,733.24x = 767,220.76 × 245,240
  4. Step 4: Simplify right side
    511,733.24x = 188,153,219,182.40
  5. Step 5: Solve for x
    x = 188,153,219,182.40/511,733.24
  6. Step 6: Final answer
    x = 367,678.32

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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.