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Finding the Fourth Proportional to 452,494.36, 678,412.45 and 212,484.58

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Solution

The fourth proportional to 452,494.36, 678,412.45 and 212,484.58 is: 318,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,494.36 : 678,412.45 = 212,484.58 : x
  2. Step 2: Convert to fraction form
    452,494.36/678,412.45 = 212,484.58/x
  3. Step 3: Cross multiply
    452,494.36x = 678,412.45 × 212,484.58
  4. Step 4: Simplify right side
    452,494.36x = 144,152,184,556.22
  5. Step 5: Solve for x
    x = 144,152,184,556.22/452,494.36
  6. Step 6: Final answer
    x = 318,572.34

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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.