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Finding the Fourth Proportional to 358,644.29, 494,780.56 and 213,420.98

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Solution

The fourth proportional to 358,644.29, 494,780.56 and 213,420.98 is: 294,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,644.29 : 494,780.56 = 213,420.98 : x
  2. Step 2: Convert to fraction form
    358,644.29/494,780.56 = 213,420.98/x
  3. Step 3: Cross multiply
    358,644.29x = 494,780.56 × 213,420.98
  4. Step 4: Simplify right side
    358,644.29x = 105,596,552,703.55
  5. Step 5: Solve for x
    x = 105,596,552,703.55/358,644.29
  6. Step 6: Final answer
    x = 294,432.55

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1.5x scale

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.