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Finding the Fourth Proportional to 768,661.40, 1,152,992.10 and 489,416.60

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Solution

The fourth proportional to 768,661.40, 1,152,992.10 and 489,416.60 is: 734,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,661.40 : 1,152,992.10 = 489,416.60 : x
  2. Step 2: Convert to fraction form
    768,661.40/1,152,992.10 = 489,416.60/x
  3. Step 3: Cross multiply
    768,661.40x = 1,152,992.10 × 489,416.60
  4. Step 4: Simplify right side
    768,661.40x = 564,293,473,408.86
  5. Step 5: Solve for x
    x = 564,293,473,408.86/768,661.40
  6. Step 6: Final answer
    x = 734,124.90

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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.