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Finding the Fourth Proportional to 397,057.31, 595,322.67 and 144,307.77

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Solution

The fourth proportional to 397,057.31, 595,322.67 and 144,307.77 is: 216,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,057.31 : 595,322.67 = 144,307.77 : x
  2. Step 2: Convert to fraction form
    397,057.31/595,322.67 = 144,307.77/x
  3. Step 3: Cross multiply
    397,057.31x = 595,322.67 × 144,307.77
  4. Step 4: Simplify right side
    397,057.31x = 85,909,686,938.15
  5. Step 5: Solve for x
    x = 85,909,686,938.15/397,057.31
  6. Step 6: Final answer
    x = 216,365.96

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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.