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Finding the Fourth Proportional to 430,697.72, 646,148.82 and 135,209.72

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Solution

The fourth proportional to 430,697.72, 646,148.82 and 135,209.72 is: 202,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,697.72 : 646,148.82 = 135,209.72 : x
  2. Step 2: Convert to fraction form
    430,697.72/646,148.82 = 135,209.72/x
  3. Step 3: Cross multiply
    430,697.72x = 646,148.82 × 135,209.72
  4. Step 4: Simplify right side
    430,697.72x = 87,365,601,030.53
  5. Step 5: Solve for x
    x = 87,365,601,030.53/430,697.72
  6. Step 6: Final answer
    x = 202,846.68

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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.