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Finding the Fourth Proportional to 315,807.44, 435,815.40 and 172,567.48

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Solution

The fourth proportional to 315,807.44, 435,815.40 and 172,567.48 is: 238,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,807.44 : 435,815.40 = 172,567.48 : x
  2. Step 2: Convert to fraction form
    315,807.44/435,815.40 = 172,567.48/x
  3. Step 3: Cross multiply
    315,807.44x = 435,815.40 × 172,567.48
  4. Step 4: Simplify right side
    315,807.44x = 75,207,565,323.19
  5. Step 5: Solve for x
    x = 75,207,565,323.19/315,807.44
  6. Step 6: Final answer
    x = 238,143.74

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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.