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Finding the Fourth Proportional to 529,499.34, 730,713.87 and 287,782.50

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Solution

The fourth proportional to 529,499.34, 730,713.87 and 287,782.50 is: 397,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,499.34 : 730,713.87 = 287,782.50 : x
  2. Step 2: Convert to fraction form
    529,499.34/730,713.87 = 287,782.50/x
  3. Step 3: Cross multiply
    529,499.34x = 730,713.87 × 287,782.50
  4. Step 4: Simplify right side
    529,499.34x = 210,286,664,293.28
  5. Step 5: Solve for x
    x = 210,286,664,293.28/529,499.34
  6. Step 6: Final answer
    x = 397,142.45

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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.