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Finding the Fourth Proportional to 529,855.17, 731,205 and 288,140.01

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Solution

The fourth proportional to 529,855.17, 731,205 and 288,140.01 is: 397,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,855.17 : 731,205 = 288,140.01 : x
  2. Step 2: Convert to fraction form
    529,855.17/731,205 = 288,140.01/x
  3. Step 3: Cross multiply
    529,855.17x = 731,205 × 288,140.01
  4. Step 4: Simplify right side
    529,855.17x = 210,689,416,012.05
  5. Step 5: Solve for x
    x = 210,689,416,012.05/529,855.17
  6. Step 6: Final answer
    x = 397,635.86

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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.