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Finding the Fourth Proportional to 384,648.30, 576,972.45 and 171,415.80

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Solution

The fourth proportional to 384,648.30, 576,972.45 and 171,415.80 is: 257,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,648.30 : 576,972.45 = 171,415.80 : x
  2. Step 2: Convert to fraction form
    384,648.30/576,972.45 = 171,415.80/x
  3. Step 3: Cross multiply
    384,648.30x = 576,972.45 × 171,415.80
  4. Step 4: Simplify right side
    384,648.30x = 98,902,194,094.71
  5. Step 5: Solve for x
    x = 98,902,194,094.71/384,648.30
  6. Step 6: Final answer
    x = 257,123.70

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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.