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Finding the Fourth Proportional to 549,902.24, 758,913.12 and 320,447.52

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Solution

The fourth proportional to 549,902.24, 758,913.12 and 320,447.52 is: 442,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,902.24 : 758,913.12 = 320,447.52 : x
  2. Step 2: Convert to fraction form
    549,902.24/758,913.12 = 320,447.52/x
  3. Step 3: Cross multiply
    549,902.24x = 758,913.12 × 320,447.52
  4. Step 4: Simplify right side
    549,902.24x = 243,191,827,199.46
  5. Step 5: Solve for x
    x = 243,191,827,199.46/549,902.24
  6. Step 6: Final answer
    x = 442,245.57

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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.