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Finding the Fourth Proportional to 529,557.96, 730,768.56 and 287,835

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Solution

The fourth proportional to 529,557.96, 730,768.56 and 287,835 is: 397,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,557.96 : 730,768.56 = 287,835 : x
  2. Step 2: Convert to fraction form
    529,557.96/730,768.56 = 287,835/x
  3. Step 3: Cross multiply
    529,557.96x = 730,768.56 × 287,835
  4. Step 4: Simplify right side
    529,557.96x = 210,340,768,467.60
  5. Step 5: Solve for x
    x = 210,340,768,467.60/529,557.96
  6. Step 6: Final answer
    x = 397,200.65

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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.