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Finding the Fourth Proportional to 419,838.72, 579,355.54 and 238,525.48

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Solution

The fourth proportional to 419,838.72, 579,355.54 and 238,525.48 is: 329,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,838.72 : 579,355.54 = 238,525.48 : x
  2. Step 2: Convert to fraction form
    419,838.72/579,355.54 = 238,525.48/x
  3. Step 3: Cross multiply
    419,838.72x = 579,355.54 × 238,525.48
  4. Step 4: Simplify right side
    419,838.72x = 138,191,058,269.16
  5. Step 5: Solve for x
    x = 138,191,058,269.16/419,838.72
  6. Step 6: Final answer
    x = 329,152.72

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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.