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Finding the Fourth Proportional to 313,982.86, 433,299.42 and 170,746

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Solution

The fourth proportional to 313,982.86, 433,299.42 and 170,746 is: 235,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,982.86 : 433,299.42 = 170,746 : x
  2. Step 2: Convert to fraction form
    313,982.86/433,299.42 = 170,746/x
  3. Step 3: Cross multiply
    313,982.86x = 433,299.42 × 170,746
  4. Step 4: Simplify right side
    313,982.86x = 73,984,142,767.32
  5. Step 5: Solve for x
    x = 73,984,142,767.32/313,982.86
  6. Step 6: Final answer
    x = 235,631.15

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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.