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Finding the Fourth Proportional to 540,638.55, 811,291.35 and 274,590

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Solution

The fourth proportional to 540,638.55, 811,291.35 and 274,590 is: 412,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,638.55 : 811,291.35 = 274,590 : x
  2. Step 2: Convert to fraction form
    540,638.55/811,291.35 = 274,590/x
  3. Step 3: Cross multiply
    540,638.55x = 811,291.35 × 274,590
  4. Step 4: Simplify right side
    540,638.55x = 222,772,491,796.50
  5. Step 5: Solve for x
    x = 222,772,491,796.50/540,638.55
  6. Step 6: Final answer
    x = 412,054.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.