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Finding the Fourth Proportional to 493,814.80, 740,549.40 and 257,078.80

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Solution

The fourth proportional to 493,814.80, 740,549.40 and 257,078.80 is: 385,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,814.80 : 740,549.40 = 257,078.80 : x
  2. Step 2: Convert to fraction form
    493,814.80/740,549.40 = 257,078.80/x
  3. Step 3: Cross multiply
    493,814.80x = 740,549.40 × 257,078.80
  4. Step 4: Simplify right side
    493,814.80x = 190,379,551,092.72
  5. Step 5: Solve for x
    x = 190,379,551,092.72/493,814.80
  6. Step 6: Final answer
    x = 385,528.24

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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.