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Finding the Fourth Proportional to 540,528.48, 810,924.84 and 380,915.76

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Solution

The fourth proportional to 540,528.48, 810,924.84 and 380,915.76 is: 571,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,528.48 : 810,924.84 = 380,915.76 : x
  2. Step 2: Convert to fraction form
    540,528.48/810,924.84 = 380,915.76/x
  3. Step 3: Cross multiply
    540,528.48x = 810,924.84 × 380,915.76
  4. Step 4: Simplify right side
    540,528.48x = 308,894,051,731.48
  5. Step 5: Solve for x
    x = 308,894,051,731.48/540,528.48
  6. Step 6: Final answer
    x = 571,466.75

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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.