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Finding the Fourth Proportional to 385,460.78, 577,349.12 and 160,138.04

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Solution

The fourth proportional to 385,460.78, 577,349.12 and 160,138.04 is: 239,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,460.78 : 577,349.12 = 160,138.04 : x
  2. Step 2: Convert to fraction form
    385,460.78/577,349.12 = 160,138.04/x
  3. Step 3: Cross multiply
    385,460.78x = 577,349.12 × 160,138.04
  4. Step 4: Simplify right side
    385,460.78x = 92,455,552,785.09
  5. Step 5: Solve for x
    x = 92,455,552,785.09/385,460.78
  6. Step 6: Final answer
    x = 239,857.23

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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.