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Finding the Fourth Proportional to 305,307.60, 421,533 and 190,760.64

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Solution

The fourth proportional to 305,307.60, 421,533 and 190,760.64 is: 263,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,307.60 : 421,533 = 190,760.64 : x
  2. Step 2: Convert to fraction form
    305,307.60/421,533 = 190,760.64/x
  3. Step 3: Cross multiply
    305,307.60x = 421,533 × 190,760.64
  4. Step 4: Simplify right side
    305,307.60x = 80,411,904,861.12
  5. Step 5: Solve for x
    x = 80,411,904,861.12/305,307.60
  6. Step 6: Final answer
    x = 263,379.96

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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.