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Finding the Fourth Proportional to 358,657.92, 494,925.12 and 215,424

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Solution

The fourth proportional to 358,657.92, 494,925.12 and 215,424 is: 297,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,657.92 : 494,925.12 = 215,424 : x
  2. Step 2: Convert to fraction form
    358,657.92/494,925.12 = 215,424/x
  3. Step 3: Cross multiply
    358,657.92x = 494,925.12 × 215,424
  4. Step 4: Simplify right side
    358,657.92x = 106,618,749,050.88
  5. Step 5: Solve for x
    x = 106,618,749,050.88/358,657.92
  6. Step 6: Final answer
    x = 297,271.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.