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Finding the Fourth Proportional to 629,714.70, 869,006.53 and 357,782.95

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Solution

The fourth proportional to 629,714.70, 869,006.53 and 357,782.95 is: 493,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,714.70 : 869,006.53 = 357,782.95 : x
  2. Step 2: Convert to fraction form
    629,714.70/869,006.53 = 357,782.95/x
  3. Step 3: Cross multiply
    629,714.70x = 869,006.53 × 357,782.95
  4. Step 4: Simplify right side
    629,714.70x = 310,915,713,738.72
  5. Step 5: Solve for x
    x = 310,915,713,738.72/629,714.70
  6. Step 6: Final answer
    x = 493,740.60

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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.