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Finding the Fourth Proportional to 529,408.09, 730,580.88 and 287,686.27

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Solution

The fourth proportional to 529,408.09, 730,580.88 and 287,686.27 is: 397,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,408.09 : 730,580.88 = 287,686.27 : x
  2. Step 2: Convert to fraction form
    529,408.09/730,580.88 = 287,686.27/x
  3. Step 3: Cross multiply
    529,408.09x = 730,580.88 × 287,686.27
  4. Step 4: Simplify right side
    529,408.09x = 210,178,088,300.52
  5. Step 5: Solve for x
    x = 210,178,088,300.52/529,408.09
  6. Step 6: Final answer
    x = 397,005.81

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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.