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Finding the Fourth Proportional to 420,759.54, 631,117.80 and 154,499.58

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Solution

The fourth proportional to 420,759.54, 631,117.80 and 154,499.58 is: 231,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,759.54 : 631,117.80 = 154,499.58 : x
  2. Step 2: Convert to fraction form
    420,759.54/631,117.80 = 154,499.58/x
  3. Step 3: Cross multiply
    420,759.54x = 631,117.80 × 154,499.58
  4. Step 4: Simplify right side
    420,759.54x = 97,507,435,030.52
  5. Step 5: Solve for x
    x = 97,507,435,030.52/420,759.54
  6. Step 6: Final answer
    x = 231,741.47

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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.