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Finding the Fourth Proportional to 452,496.65, 678,114.45 and 340,045.56

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Solution

The fourth proportional to 452,496.65, 678,114.45 and 340,045.56 is: 509,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,496.65 : 678,114.45 = 340,045.56 : x
  2. Step 2: Convert to fraction form
    452,496.65/678,114.45 = 340,045.56/x
  3. Step 3: Cross multiply
    452,496.65x = 678,114.45 × 340,045.56
  4. Step 4: Simplify right side
    452,496.65x = 230,589,807,894.34
  5. Step 5: Solve for x
    x = 230,589,807,894.34/452,496.65
  6. Step 6: Final answer
    x = 509,594.51

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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.