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Finding the Fourth Proportional to 286,688, 430,122.72 and 128,930.24

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Solution

The fourth proportional to 286,688, 430,122.72 and 128,930.24 is: 193,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,688 : 430,122.72 = 128,930.24 : x
  2. Step 2: Convert to fraction form
    286,688/430,122.72 = 128,930.24/x
  3. Step 3: Cross multiply
    286,688x = 430,122.72 × 128,930.24
  4. Step 4: Simplify right side
    286,688x = 55,455,825,519.05
  5. Step 5: Solve for x
    x = 55,455,825,519.05/286,688
  6. Step 6: Final answer
    x = 193,436.16

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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.