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Finding the Fourth Proportional to 430,696.72, 646,147.32 and 135,208.72

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Solution

The fourth proportional to 430,696.72, 646,147.32 and 135,208.72 is: 202,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,696.72 : 646,147.32 = 135,208.72 : x
  2. Step 2: Convert to fraction form
    430,696.72/646,147.32 = 135,208.72/x
  3. Step 3: Cross multiply
    430,696.72x = 646,147.32 × 135,208.72
  4. Step 4: Simplify right side
    430,696.72x = 87,364,752,068.63
  5. Step 5: Solve for x
    x = 87,364,752,068.63/430,696.72
  6. Step 6: Final answer
    x = 202,845.18

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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.