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Finding the Fourth Proportional to 315,827.94, 435,840 and 172,585.38

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Solution

The fourth proportional to 315,827.94, 435,840 and 172,585.38 is: 238,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,827.94 : 435,840 = 172,585.38 : x
  2. Step 2: Convert to fraction form
    315,827.94/435,840 = 172,585.38/x
  3. Step 3: Cross multiply
    315,827.94x = 435,840 × 172,585.38
  4. Step 4: Simplify right side
    315,827.94x = 75,219,612,019.20
  5. Step 5: Solve for x
    x = 75,219,612,019.20/315,827.94
  6. Step 6: Final answer
    x = 238,166.43

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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.