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Finding the Fourth Proportional to 430,172.40, 645,258.60 and 413,842.80

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Solution

The fourth proportional to 430,172.40, 645,258.60 and 413,842.80 is: 620,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,172.40 : 645,258.60 = 413,842.80 : x
  2. Step 2: Convert to fraction form
    430,172.40/645,258.60 = 413,842.80/x
  3. Step 3: Cross multiply
    430,172.40x = 645,258.60 × 413,842.80
  4. Step 4: Simplify right side
    430,172.40x = 267,035,625,748.08
  5. Step 5: Solve for x
    x = 267,035,625,748.08/430,172.40
  6. Step 6: Final answer
    x = 620,764.20

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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.