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Finding the Fourth Proportional to 315,810.80, 435,813.62 and 172,567.54

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Solution

The fourth proportional to 315,810.80, 435,813.62 and 172,567.54 is: 238,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,810.80 : 435,813.62 = 172,567.54 : x
  2. Step 2: Convert to fraction form
    315,810.80/435,813.62 = 172,567.54/x
  3. Step 3: Cross multiply
    315,810.80x = 435,813.62 × 172,567.54
  4. Step 4: Simplify right side
    315,810.80x = 75,207,284,301.89
  5. Step 5: Solve for x
    x = 75,207,284,301.89/315,810.80
  6. Step 6: Final answer
    x = 238,140.32

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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.