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Finding the Fourth Proportional to 540,528.42, 810,924.78 and 380,915.70

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Solution

The fourth proportional to 540,528.42, 810,924.78 and 380,915.70 is: 571,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,528.42 : 810,924.78 = 380,915.70 : x
  2. Step 2: Convert to fraction form
    540,528.42/810,924.78 = 380,915.70/x
  3. Step 3: Cross multiply
    540,528.42x = 810,924.78 × 380,915.70
  4. Step 4: Simplify right side
    540,528.42x = 308,893,980,221.05
  5. Step 5: Solve for x
    x = 308,893,980,221.05/540,528.42
  6. Step 6: Final answer
    x = 571,466.68

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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.