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Finding the Fourth Proportional to 315,688.73, 435,634.09 and 172,421.08

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Solution

The fourth proportional to 315,688.73, 435,634.09 and 172,421.08 is: 237,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,688.73 : 435,634.09 = 172,421.08 : x
  2. Step 2: Convert to fraction form
    315,688.73/435,634.09 = 172,421.08/x
  3. Step 3: Cross multiply
    315,688.73x = 435,634.09 × 172,421.08
  4. Step 4: Simplify right side
    315,688.73x = 75,112,498,762.48
  5. Step 5: Solve for x
    x = 75,112,498,762.48/315,688.73
  6. Step 6: Final answer
    x = 237,932.16

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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.