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Finding the Fourth Proportional to 419,838.68, 579,355.51 and 238,525.44

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Solution

The fourth proportional to 419,838.68, 579,355.51 and 238,525.44 is: 329,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,838.68 : 579,355.51 = 238,525.44 : x
  2. Step 2: Convert to fraction form
    419,838.68/579,355.51 = 238,525.44/x
  3. Step 3: Cross multiply
    419,838.68x = 579,355.51 × 238,525.44
  4. Step 4: Simplify right side
    419,838.68x = 138,191,026,746.55
  5. Step 5: Solve for x
    x = 138,191,026,746.55/419,838.68
  6. Step 6: Final answer
    x = 329,152.68

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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.