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Finding the Fourth Proportional to 313,987.35, 433,289.34 and 178,030.47

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Solution

The fourth proportional to 313,987.35, 433,289.34 and 178,030.47 is: 245,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,987.35 : 433,289.34 = 178,030.47 : x
  2. Step 2: Convert to fraction form
    313,987.35/433,289.34 = 178,030.47/x
  3. Step 3: Cross multiply
    313,987.35x = 433,289.34 × 178,030.47
  4. Step 4: Simplify right side
    313,987.35x = 77,138,704,846.19
  5. Step 5: Solve for x
    x = 77,138,704,846.19/313,987.35
  6. Step 6: Final answer
    x = 245,674.56

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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.