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Finding the Fourth Proportional to 430,708.50, 646,092.41 and 146,282.94

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Solution

The fourth proportional to 430,708.50, 646,092.41 and 146,282.94 is: 219,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,708.50 : 646,092.41 = 146,282.94 : x
  2. Step 2: Convert to fraction form
    430,708.50/646,092.41 = 146,282.94/x
  3. Step 3: Cross multiply
    430,708.50x = 646,092.41 × 146,282.94
  4. Step 4: Simplify right side
    430,708.50x = 94,512,296,515.07
  5. Step 5: Solve for x
    x = 94,512,296,515.07/430,708.50
  6. Step 6: Final answer
    x = 219,434.48

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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.