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Finding the Fourth Proportional to 456,490.32, 684,897.60 and 203,747.76

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Solution

The fourth proportional to 456,490.32, 684,897.60 and 203,747.76 is: 305,694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,490.32 : 684,897.60 = 203,747.76 : x
  2. Step 2: Convert to fraction form
    456,490.32/684,897.60 = 203,747.76/x
  3. Step 3: Cross multiply
    456,490.32x = 684,897.60 × 203,747.76
  4. Step 4: Simplify right side
    456,490.32x = 139,546,351,829.38
  5. Step 5: Solve for x
    x = 139,546,351,829.38/456,490.32
  6. Step 6: Final answer
    x = 305,694.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.