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Finding the Fourth Proportional to 430,820.42, 645,660.39 and 330,597.50

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Solution

The fourth proportional to 430,820.42, 645,660.39 and 330,597.50 is: 495,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,820.42 : 645,660.39 = 330,597.50 : x
  2. Step 2: Convert to fraction form
    430,820.42/645,660.39 = 330,597.50/x
  3. Step 3: Cross multiply
    430,820.42x = 645,660.39 × 330,597.50
  4. Step 4: Simplify right side
    430,820.42x = 213,453,710,783.03
  5. Step 5: Solve for x
    x = 213,453,710,783.03/430,820.42
  6. Step 6: Final answer
    x = 495,458.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.