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Finding the Fourth Proportional to 529,499.58, 730,714.20 and 287,782.70

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Solution

The fourth proportional to 529,499.58, 730,714.20 and 287,782.70 is: 397,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,499.58 : 730,714.20 = 287,782.70 : x
  2. Step 2: Convert to fraction form
    529,499.58/730,714.20 = 287,782.70/x
  3. Step 3: Cross multiply
    529,499.58x = 730,714.20 × 287,782.70
  4. Step 4: Simplify right side
    529,499.58x = 210,286,905,404.34
  5. Step 5: Solve for x
    x = 210,286,905,404.34/529,499.58
  6. Step 6: Final answer
    x = 397,142.72

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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.