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Finding the Fourth Proportional to 371,957.76, 513,301.32 and 202,193.10

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Solution

The fourth proportional to 371,957.76, 513,301.32 and 202,193.10 is: 279,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,957.76 : 513,301.32 = 202,193.10 : x
  2. Step 2: Convert to fraction form
    371,957.76/513,301.32 = 202,193.10/x
  3. Step 3: Cross multiply
    371,957.76x = 513,301.32 × 202,193.10
  4. Step 4: Simplify right side
    371,957.76x = 103,785,985,124.89
  5. Step 5: Solve for x
    x = 103,785,985,124.89/371,957.76
  6. Step 6: Final answer
    x = 279,026.27

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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.