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Finding the Fourth Proportional to 452,710.55, 678,032.45 and 216,219.31

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Solution

The fourth proportional to 452,710.55, 678,032.45 and 216,219.31 is: 323,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,710.55 : 678,032.45 = 216,219.31 : x
  2. Step 2: Convert to fraction form
    452,710.55/678,032.45 = 216,219.31/x
  3. Step 3: Cross multiply
    452,710.55x = 678,032.45 × 216,219.31
  4. Step 4: Simplify right side
    452,710.55x = 146,603,706,531.25
  5. Step 5: Solve for x
    x = 146,603,706,531.25/452,710.55
  6. Step 6: Final answer
    x = 323,835.41

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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.