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Finding the Fourth Proportional to 549,047.72, 757,153.52 and 428,144.89

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Solution

The fourth proportional to 549,047.72, 757,153.52 and 428,144.89 is: 590,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,047.72 : 757,153.52 = 428,144.89 : x
  2. Step 2: Convert to fraction form
    549,047.72/757,153.52 = 428,144.89/x
  3. Step 3: Cross multiply
    549,047.72x = 757,153.52 × 428,144.89
  4. Step 4: Simplify right side
    549,047.72x = 324,171,411,933.43
  5. Step 5: Solve for x
    x = 324,171,411,933.43/549,047.72
  6. Step 6: Final answer
    x = 590,424.84

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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.