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Finding the Fourth Proportional to 315,795.42, 436,088.64 and 202,815

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Solution

The fourth proportional to 315,795.42, 436,088.64 and 202,815 is: 280,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,795.42 : 436,088.64 = 202,815 : x
  2. Step 2: Convert to fraction form
    315,795.42/436,088.64 = 202,815/x
  3. Step 3: Cross multiply
    315,795.42x = 436,088.64 × 202,815
  4. Step 4: Simplify right side
    315,795.42x = 88,445,317,521.60
  5. Step 5: Solve for x
    x = 88,445,317,521.60/315,795.42
  6. Step 6: Final answer
    x = 280,071.57

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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.