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Finding the Fourth Proportional to 768,404.55, 1,152,590.67 and 256,106.79

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Solution

The fourth proportional to 768,404.55, 1,152,590.67 and 256,106.79 is: 384,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,404.55 : 1,152,590.67 = 256,106.79 : x
  2. Step 2: Convert to fraction form
    768,404.55/1,152,590.67 = 256,106.79/x
  3. Step 3: Cross multiply
    768,404.55x = 1,152,590.67 × 256,106.79
  4. Step 4: Simplify right side
    768,404.55x = 295,186,296,677.65
  5. Step 5: Solve for x
    x = 295,186,296,677.65/768,404.55
  6. Step 6: Final answer
    x = 384,154.80

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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.