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Finding the Fourth Proportional to 441,505.04, 609,289.98 and 312,674

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Solution

The fourth proportional to 441,505.04, 609,289.98 and 312,674 is: 431,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,505.04 : 609,289.98 = 312,674 : x
  2. Step 2: Convert to fraction form
    441,505.04/609,289.98 = 312,674/x
  3. Step 3: Cross multiply
    441,505.04x = 609,289.98 × 312,674
  4. Step 4: Simplify right side
    441,505.04x = 190,509,135,206.52
  5. Step 5: Solve for x
    x = 190,509,135,206.52/441,505.04
  6. Step 6: Final answer
    x = 431,499.34

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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.