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Finding the Fourth Proportional to 549,413.60, 823,083.60 and 512,088.80

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Solution

The fourth proportional to 549,413.60, 823,083.60 and 512,088.80 is: 767,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,413.60 : 823,083.60 = 512,088.80 : x
  2. Step 2: Convert to fraction form
    549,413.60/823,083.60 = 512,088.80/x
  3. Step 3: Cross multiply
    549,413.60x = 823,083.60 × 512,088.80
  4. Step 4: Simplify right side
    549,413.60x = 421,491,893,023.68
  5. Step 5: Solve for x
    x = 421,491,893,023.68/549,413.60
  6. Step 6: Final answer
    x = 767,166.84

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1.5x scale

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.