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Finding the Fourth Proportional to 430,622.40, 645,933.60 and 320,030.40

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Solution

The fourth proportional to 430,622.40, 645,933.60 and 320,030.40 is: 480,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,622.40 : 645,933.60 = 320,030.40 : x
  2. Step 2: Convert to fraction form
    430,622.40/645,933.60 = 320,030.40/x
  3. Step 3: Cross multiply
    430,622.40x = 645,933.60 × 320,030.40
  4. Step 4: Simplify right side
    430,622.40x = 206,718,388,381.44
  5. Step 5: Solve for x
    x = 206,718,388,381.44/430,622.40
  6. Step 6: Final answer
    x = 480,045.60

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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.