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Finding the Fourth Proportional to 371,800.73, 513,083.64 and 210,686.57

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Solution

The fourth proportional to 371,800.73, 513,083.64 and 210,686.57 is: 290,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,800.73 : 513,083.64 = 210,686.57 : x
  2. Step 2: Convert to fraction form
    371,800.73/513,083.64 = 210,686.57/x
  3. Step 3: Cross multiply
    371,800.73x = 513,083.64 × 210,686.57
  4. Step 4: Simplify right side
    371,800.73x = 108,099,829,669.30
  5. Step 5: Solve for x
    x = 108,099,829,669.30/371,800.73
  6. Step 6: Final answer
    x = 290,746.69

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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.