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Finding the Fourth Proportional to 430,865.84, 646,007.16 and 150,230

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Solution

The fourth proportional to 430,865.84, 646,007.16 and 150,230 is: 225,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,865.84 : 646,007.16 = 150,230 : x
  2. Step 2: Convert to fraction form
    430,865.84/646,007.16 = 150,230/x
  3. Step 3: Cross multiply
    430,865.84x = 646,007.16 × 150,230
  4. Step 4: Simplify right side
    430,865.84x = 97,049,655,646.80
  5. Step 5: Solve for x
    x = 97,049,655,646.80/430,865.84
  6. Step 6: Final answer
    x = 225,243.33

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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.