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Finding the Fourth Proportional to 407,838.52, 562,820.94 and 238,039.48

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Solution

The fourth proportional to 407,838.52, 562,820.94 and 238,039.48 is: 328,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,838.52 : 562,820.94 = 238,039.48 : x
  2. Step 2: Convert to fraction form
    407,838.52/562,820.94 = 238,039.48/x
  3. Step 3: Cross multiply
    407,838.52x = 562,820.94 × 238,039.48
  4. Step 4: Simplify right side
    407,838.52x = 133,973,603,890.71
  5. Step 5: Solve for x
    x = 133,973,603,890.71/407,838.52
  6. Step 6: Final answer
    x = 328,496.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.