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Finding the Fourth Proportional to 493,805.80, 740,535.90 and 257,069.80

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Solution

The fourth proportional to 493,805.80, 740,535.90 and 257,069.80 is: 385,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,805.80 : 740,535.90 = 257,069.80 : x
  2. Step 2: Convert to fraction form
    493,805.80/740,535.90 = 257,069.80/x
  3. Step 3: Cross multiply
    493,805.80x = 740,535.90 × 257,069.80
  4. Step 4: Simplify right side
    493,805.80x = 190,369,415,705.82
  5. Step 5: Solve for x
    x = 190,369,415,705.82/493,805.80
  6. Step 6: Final answer
    x = 385,514.74

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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.