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Finding the Fourth Proportional to 385,265.30, 578,012.42 and 185,527.94

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Solution

The fourth proportional to 385,265.30, 578,012.42 and 185,527.94 is: 278,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,265.30 : 578,012.42 = 185,527.94 : x
  2. Step 2: Convert to fraction form
    385,265.30/578,012.42 = 185,527.94/x
  3. Step 3: Cross multiply
    385,265.30x = 578,012.42 × 185,527.94
  4. Step 4: Simplify right side
    385,265.30x = 107,237,451,150.77
  5. Step 5: Solve for x
    x = 107,237,451,150.77/385,265.30
  6. Step 6: Final answer
    x = 278,347.03

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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.