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Finding the Fourth Proportional to 452,496.78, 678,114.64 and 340,045.68

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Solution

The fourth proportional to 452,496.78, 678,114.64 and 340,045.68 is: 509,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,496.78 : 678,114.64 = 340,045.68 : x
  2. Step 2: Convert to fraction form
    452,496.78/678,114.64 = 340,045.68/x
  3. Step 3: Cross multiply
    452,496.78x = 678,114.64 × 340,045.68
  4. Step 4: Simplify right side
    452,496.78x = 230,589,956,844.74
  5. Step 5: Solve for x
    x = 230,589,956,844.74/452,496.78
  6. Step 6: Final answer
    x = 509,594.69

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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.