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Finding the Fourth Proportional to 495,886.56, 684,343.84 and 281,024.32

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Solution

The fourth proportional to 495,886.56, 684,343.84 and 281,024.32 is: 387,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,886.56 : 684,343.84 = 281,024.32 : x
  2. Step 2: Convert to fraction form
    495,886.56/684,343.84 = 281,024.32/x
  3. Step 3: Cross multiply
    495,886.56x = 684,343.84 × 281,024.32
  4. Step 4: Simplify right side
    495,886.56x = 192,317,262,282.19
  5. Step 5: Solve for x
    x = 192,317,262,282.19/495,886.56
  6. Step 6: Final answer
    x = 387,825.12

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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.