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Finding the Fourth Proportional to 430,695, 646,047.97 and 150,212.25

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Solution

The fourth proportional to 430,695, 646,047.97 and 150,212.25 is: 225,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,695 : 646,047.97 = 150,212.25 : x
  2. Step 2: Convert to fraction form
    430,695/646,047.97 = 150,212.25/x
  3. Step 3: Cross multiply
    430,695x = 646,047.97 × 150,212.25
  4. Step 4: Simplify right side
    430,695x = 97,044,318,806.10
  5. Step 5: Solve for x
    x = 97,044,318,806.10/430,695
  6. Step 6: Final answer
    x = 225,320.28

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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.