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Finding the Fourth Proportional to 430,730.62, 646,391.58 and 150,247.90

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Solution

The fourth proportional to 430,730.62, 646,391.58 and 150,247.90 is: 225,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,730.62 : 646,391.58 = 150,247.90 : x
  2. Step 2: Convert to fraction form
    430,730.62/646,391.58 = 150,247.90/x
  3. Step 3: Cross multiply
    430,730.62x = 646,391.58 × 150,247.90
  4. Step 4: Simplify right side
    430,730.62x = 97,118,977,472.68
  5. Step 5: Solve for x
    x = 97,118,977,472.68/430,730.62
  6. Step 6: Final answer
    x = 225,474.98

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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.