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Finding the Fourth Proportional to 430,679.34, 645,969.60 and 115,160.85

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Solution

The fourth proportional to 430,679.34, 645,969.60 and 115,160.85 is: 172,728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,679.34 : 645,969.60 = 115,160.85 : x
  2. Step 2: Convert to fraction form
    430,679.34/645,969.60 = 115,160.85/x
  3. Step 3: Cross multiply
    430,679.34x = 645,969.60 × 115,160.85
  4. Step 4: Simplify right side
    430,679.34x = 74,390,408,210.16
  5. Step 5: Solve for x
    x = 74,390,408,210.16/430,679.34
  6. Step 6: Final answer
    x = 172,728.06

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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.