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Finding the Fourth Proportional to 255,907.47, 353,222.60 and 148,512.09

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Solution

The fourth proportional to 255,907.47, 353,222.60 and 148,512.09 is: 204,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,907.47 : 353,222.60 = 148,512.09 : x
  2. Step 2: Convert to fraction form
    255,907.47/353,222.60 = 148,512.09/x
  3. Step 3: Cross multiply
    255,907.47x = 353,222.60 × 148,512.09
  4. Step 4: Simplify right side
    255,907.47x = 52,457,825,818.67
  5. Step 5: Solve for x
    x = 52,457,825,818.67/255,907.47
  6. Step 6: Final answer
    x = 204,987.47

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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.