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Finding the Fourth Proportional to 549,837.75, 758,763.64 and 320,380.75

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Solution

The fourth proportional to 549,837.75, 758,763.64 and 320,380.75 is: 442,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,837.75 : 758,763.64 = 320,380.75 : x
  2. Step 2: Convert to fraction form
    549,837.75/758,763.64 = 320,380.75/x
  3. Step 3: Cross multiply
    549,837.75x = 758,763.64 × 320,380.75
  4. Step 4: Simplify right side
    549,837.75x = 243,093,264,055.93
  5. Step 5: Solve for x
    x = 243,093,264,055.93/549,837.75
  6. Step 6: Final answer
    x = 442,118.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.