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Finding the Fourth Proportional to 487,013.12, 730,858.80 and 171,495.44

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Solution

The fourth proportional to 487,013.12, 730,858.80 and 171,495.44 is: 257,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,013.12 : 730,858.80 = 171,495.44 : x
  2. Step 2: Convert to fraction form
    487,013.12/730,858.80 = 171,495.44/x
  3. Step 3: Cross multiply
    487,013.12x = 730,858.80 × 171,495.44
  4. Step 4: Simplify right side
    487,013.12x = 125,338,951,483.87
  5. Step 5: Solve for x
    x = 125,338,951,483.87/487,013.12
  6. Step 6: Final answer
    x = 257,362.58

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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.