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Finding the Fourth Proportional to 385,442.72, 578,410.86 and 208,073.24

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Solution

The fourth proportional to 385,442.72, 578,410.86 and 208,073.24 is: 312,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,442.72 : 578,410.86 = 208,073.24 : x
  2. Step 2: Convert to fraction form
    385,442.72/578,410.86 = 208,073.24/x
  3. Step 3: Cross multiply
    385,442.72x = 578,410.86 × 208,073.24
  4. Step 4: Simplify right side
    385,442.72x = 120,351,821,691.39
  5. Step 5: Solve for x
    x = 120,351,821,691.39/385,442.72
  6. Step 6: Final answer
    x = 312,243.08

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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.