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Finding the Fourth Proportional to 507,356, 700,142.70 and 280,996.64

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Solution

The fourth proportional to 507,356, 700,142.70 and 280,996.64 is: 387,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,356 : 700,142.70 = 280,996.64 : x
  2. Step 2: Convert to fraction form
    507,356/700,142.70 = 280,996.64/x
  3. Step 3: Cross multiply
    507,356x = 700,142.70 × 280,996.64
  4. Step 4: Simplify right side
    507,356x = 196,737,746,220.53
  5. Step 5: Solve for x
    x = 196,737,746,220.53/507,356
  6. Step 6: Final answer
    x = 387,770.61

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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.