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Finding the Fourth Proportional to 315,517.81, 435,193.64 and 213,498.37

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Solution

The fourth proportional to 315,517.81, 435,193.64 and 213,498.37 is: 294,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,517.81 : 435,193.64 = 213,498.37 : x
  2. Step 2: Convert to fraction form
    315,517.81/435,193.64 = 213,498.37/x
  3. Step 3: Cross multiply
    315,517.81x = 435,193.64 × 213,498.37
  4. Step 4: Simplify right side
    315,517.81x = 92,913,130,598.40
  5. Step 5: Solve for x
    x = 92,913,130,598.40/315,517.81
  6. Step 6: Final answer
    x = 294,478.24

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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.