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Finding the Fourth Proportional to 529,498.63, 730,703.73 and 287,782.68

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Solution

The fourth proportional to 529,498.63, 730,703.73 and 287,782.68 is: 397,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,498.63 : 730,703.73 = 287,782.68 : x
  2. Step 2: Convert to fraction form
    529,498.63/730,703.73 = 287,782.68/x
  3. Step 3: Cross multiply
    529,498.63x = 730,703.73 × 287,782.68
  4. Step 4: Simplify right side
    529,498.63x = 210,283,879,469.62
  5. Step 5: Solve for x
    x = 210,283,879,469.62/529,498.63
  6. Step 6: Final answer
    x = 397,137.72

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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.