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Finding the Fourth Proportional to 322,403.20, 482,683.20 and 289,225.60

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Solution

The fourth proportional to 322,403.20, 482,683.20 and 289,225.60 is: 433,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,403.20 : 482,683.20 = 289,225.60 : x
  2. Step 2: Convert to fraction form
    322,403.20/482,683.20 = 289,225.60/x
  3. Step 3: Cross multiply
    322,403.20x = 482,683.20 × 289,225.60
  4. Step 4: Simplify right side
    322,403.20x = 139,604,338,129.92
  5. Step 5: Solve for x
    x = 139,604,338,129.92/322,403.20
  6. Step 6: Final answer
    x = 433,011.64

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1.5x scale

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.