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Finding the Fourth Proportional to 315,874.98, 435,908.25 and 172,636.74

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Solution

The fourth proportional to 315,874.98, 435,908.25 and 172,636.74 is: 238,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,874.98 : 435,908.25 = 172,636.74 : x
  2. Step 2: Convert to fraction form
    315,874.98/435,908.25 = 172,636.74/x
  3. Step 3: Cross multiply
    315,874.98x = 435,908.25 × 172,636.74
  4. Step 4: Simplify right side
    315,874.98x = 75,253,779,219.11
  5. Step 5: Solve for x
    x = 75,253,779,219.11/315,874.98
  6. Step 6: Final answer
    x = 238,239.13

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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.