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Finding the Fourth Proportional to 451,205.40, 676,808.10 and 402,216.60

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Solution

The fourth proportional to 451,205.40, 676,808.10 and 402,216.60 is: 603,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,205.40 : 676,808.10 = 402,216.60 : x
  2. Step 2: Convert to fraction form
    451,205.40/676,808.10 = 402,216.60/x
  3. Step 3: Cross multiply
    451,205.40x = 676,808.10 × 402,216.60
  4. Step 4: Simplify right side
    451,205.40x = 272,223,452,834.46
  5. Step 5: Solve for x
    x = 272,223,452,834.46/451,205.40
  6. Step 6: Final answer
    x = 603,324.90

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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.