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Finding the Fourth Proportional to 397,245.40, 594,312.90 and 257,277.40

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Solution

The fourth proportional to 397,245.40, 594,312.90 and 257,277.40 is: 384,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,245.40 : 594,312.90 = 257,277.40 : x
  2. Step 2: Convert to fraction form
    397,245.40/594,312.90 = 257,277.40/x
  3. Step 3: Cross multiply
    397,245.40x = 594,312.90 × 257,277.40
  4. Step 4: Simplify right side
    397,245.40x = 152,903,277,698.46
  5. Step 5: Solve for x
    x = 152,903,277,698.46/397,245.40
  6. Step 6: Final answer
    x = 384,908.87

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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.