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Finding the Fourth Proportional to 515,147.84, 771,658.08 and 382,178.24

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Solution

The fourth proportional to 515,147.84, 771,658.08 and 382,178.24 is: 572,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,147.84 : 771,658.08 = 382,178.24 : x
  2. Step 2: Convert to fraction form
    515,147.84/771,658.08 = 382,178.24/x
  3. Step 3: Cross multiply
    515,147.84x = 771,658.08 × 382,178.24
  4. Step 4: Simplify right side
    515,147.84x = 294,910,926,896.18
  5. Step 5: Solve for x
    x = 294,910,926,896.18/515,147.84
  6. Step 6: Final answer
    x = 572,478.24

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1.5x scale

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.