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Finding the Fourth Proportional to 315,053.48, 434,696.64 and 202,029.32

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Solution

The fourth proportional to 315,053.48, 434,696.64 and 202,029.32 is: 278,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,053.48 : 434,696.64 = 202,029.32 : x
  2. Step 2: Convert to fraction form
    315,053.48/434,696.64 = 202,029.32/x
  3. Step 3: Cross multiply
    315,053.48x = 434,696.64 × 202,029.32
  4. Step 4: Simplify right side
    315,053.48x = 87,821,466,585.48
  5. Step 5: Solve for x
    x = 87,821,466,585.48/315,053.48
  6. Step 6: Final answer
    x = 278,750.98

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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.