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Finding the Fourth Proportional to 315,828.94, 435,888.40 and 201,070.92

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Solution

The fourth proportional to 315,828.94, 435,888.40 and 201,070.92 is: 277,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,828.94 : 435,888.40 = 201,070.92 : x
  2. Step 2: Convert to fraction form
    315,828.94/435,888.40 = 201,070.92/x
  3. Step 3: Cross multiply
    315,828.94x = 435,888.40 × 201,070.92
  4. Step 4: Simplify right side
    315,828.94x = 87,644,481,605.33
  5. Step 5: Solve for x
    x = 87,644,481,605.33/315,828.94
  6. Step 6: Final answer
    x = 277,506.18

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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.