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Finding the Fourth Proportional to 358,780.68, 494,927.28 and 213,483.24

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Solution

The fourth proportional to 358,780.68, 494,927.28 and 213,483.24 is: 294,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,780.68 : 494,927.28 = 213,483.24 : x
  2. Step 2: Convert to fraction form
    358,780.68/494,927.28 = 213,483.24/x
  3. Step 3: Cross multiply
    358,780.68x = 494,927.28 × 213,483.24
  4. Step 4: Simplify right side
    358,780.68x = 105,658,679,298.79
  5. Step 5: Solve for x
    x = 105,658,679,298.79/358,780.68
  6. Step 6: Final answer
    x = 294,493.78

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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.