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Finding the Fourth Proportional to 308,758.24, 463,128.72 and 98,408.80

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Solution

The fourth proportional to 308,758.24, 463,128.72 and 98,408.80 is: 147,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,758.24 : 463,128.72 = 98,408.80 : x
  2. Step 2: Convert to fraction form
    308,758.24/463,128.72 = 98,408.80/x
  3. Step 3: Cross multiply
    308,758.24x = 463,128.72 × 98,408.80
  4. Step 4: Simplify right side
    308,758.24x = 45,575,941,580.74
  5. Step 5: Solve for x
    x = 45,575,941,580.74/308,758.24
  6. Step 6: Final answer
    x = 147,610.45

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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.