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Finding the Fourth Proportional to 610,516.61, 842,457.27 and 338,583.68

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Solution

The fourth proportional to 610,516.61, 842,457.27 and 338,583.68 is: 467,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,516.61 : 842,457.27 = 338,583.68 : x
  2. Step 2: Convert to fraction form
    610,516.61/842,457.27 = 338,583.68/x
  3. Step 3: Cross multiply
    610,516.61x = 842,457.27 × 338,583.68
  4. Step 4: Simplify right side
    610,516.61x = 285,242,282,719.35
  5. Step 5: Solve for x
    x = 285,242,282,719.35/610,516.61
  6. Step 6: Final answer
    x = 467,214.61

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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.