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Finding the Fourth Proportional to 645,627.60, 967,289.40 and 312,469.20

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Solution

The fourth proportional to 645,627.60, 967,289.40 and 312,469.20 is: 468,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,627.60 : 967,289.40 = 312,469.20 : x
  2. Step 2: Convert to fraction form
    645,627.60/967,289.40 = 312,469.20/x
  3. Step 3: Cross multiply
    645,627.60x = 967,289.40 × 312,469.20
  4. Step 4: Simplify right side
    645,627.60x = 302,248,144,986.48
  5. Step 5: Solve for x
    x = 302,248,144,986.48/645,627.60
  6. Step 6: Final answer
    x = 468,146.26

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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.