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Finding the Fourth Proportional to 510,794.56, 704,980.57 and 389,707.05

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Solution

The fourth proportional to 510,794.56, 704,980.57 and 389,707.05 is: 537,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,794.56 : 704,980.57 = 389,707.05 : x
  2. Step 2: Convert to fraction form
    510,794.56/704,980.57 = 389,707.05/x
  3. Step 3: Cross multiply
    510,794.56x = 704,980.57 × 389,707.05
  4. Step 4: Simplify right side
    510,794.56x = 274,735,897,267.75
  5. Step 5: Solve for x
    x = 274,735,897,267.75/510,794.56
  6. Step 6: Final answer
    x = 537,859.88

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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.