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Finding the Fourth Proportional to 570,080.52, 786,698.99 and 311,956.43

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Solution

The fourth proportional to 570,080.52, 786,698.99 and 311,956.43 is: 430,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,080.52 : 786,698.99 = 311,956.43 : x
  2. Step 2: Convert to fraction form
    570,080.52/786,698.99 = 311,956.43/x
  3. Step 3: Cross multiply
    570,080.52x = 786,698.99 × 311,956.43
  4. Step 4: Simplify right side
    570,080.52x = 245,415,808,811.97
  5. Step 5: Solve for x
    x = 245,415,808,811.97/570,080.52
  6. Step 6: Final answer
    x = 430,493.24

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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.