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Finding the Fourth Proportional to 495,887.56, 684,345.22 and 281,025.32

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Solution

The fourth proportional to 495,887.56, 684,345.22 and 281,025.32 is: 387,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,887.56 : 684,345.22 = 281,025.32 : x
  2. Step 2: Convert to fraction form
    495,887.56/684,345.22 = 281,025.32/x
  3. Step 3: Cross multiply
    495,887.56x = 684,345.22 × 281,025.32
  4. Step 4: Simplify right side
    495,887.56x = 192,318,334,440.97
  5. Step 5: Solve for x
    x = 192,318,334,440.97/495,887.56
  6. Step 6: Final answer
    x = 387,826.50

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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.