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Finding the Fourth Proportional to 430,919.29, 646,502.26 and 146,672.47

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Solution

The fourth proportional to 430,919.29, 646,502.26 and 146,672.47 is: 220,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,919.29 : 646,502.26 = 146,672.47 : x
  2. Step 2: Convert to fraction form
    430,919.29/646,502.26 = 146,672.47/x
  3. Step 3: Cross multiply
    430,919.29x = 646,502.26 × 146,672.47
  4. Step 4: Simplify right side
    430,919.29x = 94,824,079,735.59
  5. Step 5: Solve for x
    x = 94,824,079,735.59/430,919.29
  6. Step 6: Final answer
    x = 220,050.68

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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.