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Finding the Fourth Proportional to 529,993.80, 731,403.47 and 288,289.29

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Solution

The fourth proportional to 529,993.80, 731,403.47 and 288,289.29 is: 397,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,993.80 : 731,403.47 = 288,289.29 : x
  2. Step 2: Convert to fraction form
    529,993.80/731,403.47 = 288,289.29/x
  3. Step 3: Cross multiply
    529,993.80x = 731,403.47 × 288,289.29
  4. Step 4: Simplify right side
    529,993.80x = 210,855,790,533.32
  5. Step 5: Solve for x
    x = 210,855,790,533.32/529,993.80
  6. Step 6: Final answer
    x = 397,845.77

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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.