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Finding the Fourth Proportional to 312,535.28, 431,300.76 and 169,295.32

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Solution

The fourth proportional to 312,535.28, 431,300.76 and 169,295.32 is: 233,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,535.28 : 431,300.76 = 169,295.32 : x
  2. Step 2: Convert to fraction form
    312,535.28/431,300.76 = 169,295.32/x
  3. Step 3: Cross multiply
    312,535.28x = 431,300.76 × 169,295.32
  4. Step 4: Simplify right side
    312,535.28x = 73,017,200,084.71
  5. Step 5: Solve for x
    x = 73,017,200,084.71/312,535.28
  6. Step 6: Final answer
    x = 233,628.67

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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.