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Finding the Fourth Proportional to 315,292.86, 435,113.40 and 172,062.15

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Solution

The fourth proportional to 315,292.86, 435,113.40 and 172,062.15 is: 237,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,292.86 : 435,113.40 = 172,062.15 : x
  2. Step 2: Convert to fraction form
    315,292.86/435,113.40 = 172,062.15/x
  3. Step 3: Cross multiply
    315,292.86x = 435,113.40 × 172,062.15
  4. Step 4: Simplify right side
    315,292.86x = 74,866,544,922.24
  5. Step 5: Solve for x
    x = 74,866,544,922.24/315,292.86
  6. Step 6: Final answer
    x = 237,450.81

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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.