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Finding the Fourth Proportional to 309,142.60, 463,670.70 and 98,801.80

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Solution

The fourth proportional to 309,142.60, 463,670.70 and 98,801.80 is: 148,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,142.60 : 463,670.70 = 98,801.80 : x
  2. Step 2: Convert to fraction form
    309,142.60/463,670.70 = 98,801.80/x
  3. Step 3: Cross multiply
    309,142.60x = 463,670.70 × 98,801.80
  4. Step 4: Simplify right side
    309,142.60x = 45,811,499,767.26
  5. Step 5: Solve for x
    x = 45,811,499,767.26/309,142.60
  6. Step 6: Final answer
    x = 148,188.89

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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.