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Finding the Fourth Proportional to 529,903.45, 731,259.70 and 288,180.82

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Solution

The fourth proportional to 529,903.45, 731,259.70 and 288,180.82 is: 397,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,903.45 : 731,259.70 = 288,180.82 : x
  2. Step 2: Convert to fraction form
    529,903.45/731,259.70 = 288,180.82/x
  3. Step 3: Cross multiply
    529,903.45x = 731,259.70 × 288,180.82
  4. Step 4: Simplify right side
    529,903.45x = 210,735,020,172.58
  5. Step 5: Solve for x
    x = 210,735,020,172.58/529,903.45
  6. Step 6: Final answer
    x = 397,685.69

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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.