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Finding the Fourth Proportional to 501,096.60, 750,770.10 and 431,112.60

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Solution

The fourth proportional to 501,096.60, 750,770.10 and 431,112.60 is: 645,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,096.60 : 750,770.10 = 431,112.60 : x
  2. Step 2: Convert to fraction form
    501,096.60/750,770.10 = 431,112.60/x
  3. Step 3: Cross multiply
    501,096.60x = 750,770.10 × 431,112.60
  4. Step 4: Simplify right side
    501,096.60x = 323,666,449,813.26
  5. Step 5: Solve for x
    x = 323,666,449,813.26/501,096.60
  6. Step 6: Final answer
    x = 645,916.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.