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Finding the Fourth Proportional to 549,823.94, 758,744.72 and 320,366.96

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Solution

The fourth proportional to 549,823.94, 758,744.72 and 320,366.96 is: 442,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,823.94 : 758,744.72 = 320,366.96 : x
  2. Step 2: Convert to fraction form
    549,823.94/758,744.72 = 320,366.96/x
  3. Step 3: Cross multiply
    549,823.94x = 758,744.72 × 320,366.96
  4. Step 4: Simplify right side
    549,823.94x = 243,076,739,362.45
  5. Step 5: Solve for x
    x = 243,076,739,362.45/549,823.94
  6. Step 6: Final answer
    x = 442,099.23

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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.