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Finding the Fourth Proportional to 509,440.64, 703,644.66 and 371,400.98

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Solution

The fourth proportional to 509,440.64, 703,644.66 and 371,400.98 is: 512,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,440.64 : 703,644.66 = 371,400.98 : x
  2. Step 2: Convert to fraction form
    509,440.64/703,644.66 = 371,400.98/x
  3. Step 3: Cross multiply
    509,440.64x = 703,644.66 × 371,400.98
  4. Step 4: Simplify right side
    509,440.64x = 261,334,312,777.54
  5. Step 5: Solve for x
    x = 261,334,312,777.54/509,440.64
  6. Step 6: Final answer
    x = 512,982.86

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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.