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Finding the Fourth Proportional to 512,813.60, 707,672.40 and 311,674.40

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Solution

The fourth proportional to 512,813.60, 707,672.40 and 311,674.40 is: 430,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,813.60 : 707,672.40 = 311,674.40 : x
  2. Step 2: Convert to fraction form
    512,813.60/707,672.40 = 311,674.40/x
  3. Step 3: Cross multiply
    512,813.60x = 707,672.40 × 311,674.40
  4. Step 4: Simplify right side
    512,813.60x = 220,563,370,666.56
  5. Step 5: Solve for x
    x = 220,563,370,666.56/512,813.60
  6. Step 6: Final answer
    x = 430,104.37

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1.5x scale

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.