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Finding the Fourth Proportional to 430,564.20, 645,615.90 and 180,964.20

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Solution

The fourth proportional to 430,564.20, 645,615.90 and 180,964.20 is: 271,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,564.20 : 645,615.90 = 180,964.20 : x
  2. Step 2: Convert to fraction form
    430,564.20/645,615.90 = 180,964.20/x
  3. Step 3: Cross multiply
    430,564.20x = 645,615.90 × 180,964.20
  4. Step 4: Simplify right side
    430,564.20x = 116,833,364,850.78
  5. Step 5: Solve for x
    x = 116,833,364,850.78/430,564.20
  6. Step 6: Final answer
    x = 271,349.46

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1.5x scale

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.