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Finding the Fourth Proportional to 434,086.60, 651,123.80 and 263,348.98

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Solution

The fourth proportional to 434,086.60, 651,123.80 and 263,348.98 is: 395,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,086.60 : 651,123.80 = 263,348.98 : x
  2. Step 2: Convert to fraction form
    434,086.60/651,123.80 = 263,348.98/x
  3. Step 3: Cross multiply
    434,086.60x = 651,123.80 × 263,348.98
  4. Step 4: Simplify right side
    434,086.60x = 171,472,788,583.72
  5. Step 5: Solve for x
    x = 171,472,788,583.72/434,086.60
  6. Step 6: Final answer
    x = 395,019.77

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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.