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Finding the Fourth Proportional to 699,145.95, 964,895.44 and 427,372.93

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Solution

The fourth proportional to 699,145.95, 964,895.44 and 427,372.93 is: 589,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,145.95 : 964,895.44 = 427,372.93 : x
  2. Step 2: Convert to fraction form
    699,145.95/964,895.44 = 427,372.93/x
  3. Step 3: Cross multiply
    699,145.95x = 964,895.44 × 427,372.93
  4. Step 4: Simplify right side
    699,145.95x = 412,370,186,847.91
  5. Step 5: Solve for x
    x = 412,370,186,847.91/699,145.95
  6. Step 6: Final answer
    x = 589,819.89

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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.