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Finding the Fourth Proportional to 315,708.48, 435,599.64 and 202,684.32

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Solution

The fourth proportional to 315,708.48, 435,599.64 and 202,684.32 is: 279,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,708.48 : 435,599.64 = 202,684.32 : x
  2. Step 2: Convert to fraction form
    315,708.48/435,599.64 = 202,684.32/x
  3. Step 3: Cross multiply
    315,708.48x = 435,599.64 × 202,684.32
  4. Step 4: Simplify right side
    315,708.48x = 88,289,216,825.64
  5. Step 5: Solve for x
    x = 88,289,216,825.64/315,708.48
  6. Step 6: Final answer
    x = 279,654.25

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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.