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Finding the Fourth Proportional to 430,467.80, 645,720.90 and 164,355.80

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Solution

The fourth proportional to 430,467.80, 645,720.90 and 164,355.80 is: 246,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,467.80 : 645,720.90 = 164,355.80 : x
  2. Step 2: Convert to fraction form
    430,467.80/645,720.90 = 164,355.80/x
  3. Step 3: Cross multiply
    430,467.80x = 645,720.90 × 164,355.80
  4. Step 4: Simplify right side
    430,467.80x = 106,127,975,096.22
  5. Step 5: Solve for x
    x = 106,127,975,096.22/430,467.80
  6. Step 6: Final answer
    x = 246,541.03

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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.