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Finding the Fourth Proportional to 430,777, 646,270.14 and 135,289

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Solution

The fourth proportional to 430,777, 646,270.14 and 135,289 is: 202,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,777 : 646,270.14 = 135,289 : x
  2. Step 2: Convert to fraction form
    430,777/646,270.14 = 135,289/x
  3. Step 3: Cross multiply
    430,777x = 646,270.14 × 135,289
  4. Step 4: Simplify right side
    430,777x = 87,433,240,970.46
  5. Step 5: Solve for x
    x = 87,433,240,970.46/430,777
  6. Step 6: Final answer
    x = 202,966.36

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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.