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Finding the Fourth Proportional to 510,457.43, 766,158.73 and 257,915.67

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Solution

The fourth proportional to 510,457.43, 766,158.73 and 257,915.67 is: 387,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,457.43 : 766,158.73 = 257,915.67 : x
  2. Step 2: Convert to fraction form
    510,457.43/766,158.73 = 257,915.67/x
  3. Step 3: Cross multiply
    510,457.43x = 766,158.73 × 257,915.67
  4. Step 4: Simplify right side
    510,457.43x = 197,604,342,174.30
  5. Step 5: Solve for x
    x = 197,604,342,174.30/510,457.43
  6. Step 6: Final answer
    x = 387,112.29

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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.