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Finding the Fourth Proportional to 455,310.70, 683,527.65 and 286,830.70

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Solution

The fourth proportional to 455,310.70, 683,527.65 and 286,830.70 is: 430,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,310.70 : 683,527.65 = 286,830.70 : x
  2. Step 2: Convert to fraction form
    455,310.70/683,527.65 = 286,830.70/x
  3. Step 3: Cross multiply
    455,310.70x = 683,527.65 × 286,830.70
  4. Step 4: Simplify right side
    455,310.70x = 196,056,714,318.86
  5. Step 5: Solve for x
    x = 196,056,714,318.86/455,310.70
  6. Step 6: Final answer
    x = 430,599.84

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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.