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Finding the Fourth Proportional to 255,420.63, 383,218.47 and 97,694.19

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Solution

The fourth proportional to 255,420.63, 383,218.47 and 97,694.19 is: 146,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,420.63 : 383,218.47 = 97,694.19 : x
  2. Step 2: Convert to fraction form
    255,420.63/383,218.47 = 97,694.19/x
  3. Step 3: Cross multiply
    255,420.63x = 383,218.47 × 97,694.19
  4. Step 4: Simplify right side
    255,420.63x = 37,438,218,019.69
  5. Step 5: Solve for x
    x = 37,438,218,019.69/255,420.63
  6. Step 6: Final answer
    x = 146,574.76

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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.