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Finding the Fourth Proportional to 491,437.16, 678,392.53 and 330,385.63

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Solution

The fourth proportional to 491,437.16, 678,392.53 and 330,385.63 is: 456,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,437.16 : 678,392.53 = 330,385.63 : x
  2. Step 2: Convert to fraction form
    491,437.16/678,392.53 = 330,385.63/x
  3. Step 3: Cross multiply
    491,437.16x = 678,392.53 × 330,385.63
  4. Step 4: Simplify right side
    491,437.16x = 224,131,140,889.40
  5. Step 5: Solve for x
    x = 224,131,140,889.40/491,437.16
  6. Step 6: Final answer
    x = 456,072.84

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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.