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Finding the Fourth Proportional to 430,873.34, 646,018.41 and 150,237.50

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Solution

The fourth proportional to 430,873.34, 646,018.41 and 150,237.50 is: 225,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,873.34 : 646,018.41 = 150,237.50 : x
  2. Step 2: Convert to fraction form
    430,873.34/646,018.41 = 150,237.50/x
  3. Step 3: Cross multiply
    430,873.34x = 646,018.41 × 150,237.50
  4. Step 4: Simplify right side
    430,873.34x = 97,056,190,872.38
  5. Step 5: Solve for x
    x = 97,056,190,872.38/430,873.34
  6. Step 6: Final answer
    x = 225,254.57

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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.