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Finding the Fourth Proportional to 499,585.70, 689,435.53 and 281,804.77

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Solution

The fourth proportional to 499,585.70, 689,435.53 and 281,804.77 is: 388,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,585.70 : 689,435.53 = 281,804.77 : x
  2. Step 2: Convert to fraction form
    499,585.70/689,435.53 = 281,804.77/x
  3. Step 3: Cross multiply
    499,585.70x = 689,435.53 × 281,804.77
  4. Step 4: Simplify right side
    499,585.70x = 194,286,220,961.48
  5. Step 5: Solve for x
    x = 194,286,220,961.48/499,585.70
  6. Step 6: Final answer
    x = 388,894.68

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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.