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Finding the Fourth Proportional to 307,924.96, 424,967.52 and 187,078.36

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Solution

The fourth proportional to 307,924.96, 424,967.52 and 187,078.36 is: 258,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,924.96 : 424,967.52 = 187,078.36 : x
  2. Step 2: Convert to fraction form
    307,924.96/424,967.52 = 187,078.36/x
  3. Step 3: Cross multiply
    307,924.96x = 424,967.52 × 187,078.36
  4. Step 4: Simplify right side
    307,924.96x = 79,502,226,694.87
  5. Step 5: Solve for x
    x = 79,502,226,694.87/307,924.96
  6. Step 6: Final answer
    x = 258,187.02

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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.