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Finding the Fourth Proportional to 307,041.40, 460,562.10 and 217,811.80

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Solution

The fourth proportional to 307,041.40, 460,562.10 and 217,811.80 is: 326,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,041.40 : 460,562.10 = 217,811.80 : x
  2. Step 2: Convert to fraction form
    307,041.40/460,562.10 = 217,811.80/x
  3. Step 3: Cross multiply
    307,041.40x = 460,562.10 × 217,811.80
  4. Step 4: Simplify right side
    307,041.40x = 100,315,860,012.78
  5. Step 5: Solve for x
    x = 100,315,860,012.78/307,041.40
  6. Step 6: Final answer
    x = 326,717.70

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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.