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Finding the Fourth Proportional to 512,938.69, 708,052.94 and 459,128.77

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Solution

The fourth proportional to 512,938.69, 708,052.94 and 459,128.77 is: 633,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,938.69 : 708,052.94 = 459,128.77 : x
  2. Step 2: Convert to fraction form
    512,938.69/708,052.94 = 459,128.77/x
  3. Step 3: Cross multiply
    512,938.69x = 708,052.94 × 459,128.77
  4. Step 4: Simplify right side
    512,938.69x = 325,087,473,141.44
  5. Step 5: Solve for x
    x = 325,087,473,141.44/512,938.69
  6. Step 6: Final answer
    x = 633,774.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.