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Finding the Fourth Proportional to 529,495.46, 730,708.52 and 287,778.61

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Solution

The fourth proportional to 529,495.46, 730,708.52 and 287,778.61 is: 397,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,495.46 : 730,708.52 = 287,778.61 : x
  2. Step 2: Convert to fraction form
    529,495.46/730,708.52 = 287,778.61/x
  3. Step 3: Cross multiply
    529,495.46x = 730,708.52 × 287,778.61
  4. Step 4: Simplify right side
    529,495.46x = 210,282,282,200.76
  5. Step 5: Solve for x
    x = 210,282,282,200.76/529,495.46
  6. Step 6: Final answer
    x = 397,137.08

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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.