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Finding the Fourth Proportional to 549,643.78, 758,336.25 and 307,893.70

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Solution

The fourth proportional to 549,643.78, 758,336.25 and 307,893.70 is: 424,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,643.78 : 758,336.25 = 307,893.70 : x
  2. Step 2: Convert to fraction form
    549,643.78/758,336.25 = 307,893.70/x
  3. Step 3: Cross multiply
    549,643.78x = 758,336.25 × 307,893.70
  4. Step 4: Simplify right side
    549,643.78x = 233,486,953,856.63
  5. Step 5: Solve for x
    x = 233,486,953,856.63/549,643.78
  6. Step 6: Final answer
    x = 424,796.86

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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.