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Finding the Fourth Proportional to 402,074.40, 603,111.60 and 384,359.70

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Solution

The fourth proportional to 402,074.40, 603,111.60 and 384,359.70 is: 576,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,074.40 : 603,111.60 = 384,359.70 : x
  2. Step 2: Convert to fraction form
    402,074.40/603,111.60 = 384,359.70/x
  3. Step 3: Cross multiply
    402,074.40x = 603,111.60 × 384,359.70
  4. Step 4: Simplify right side
    402,074.40x = 231,811,793,642.52
  5. Step 5: Solve for x
    x = 231,811,793,642.52/402,074.40
  6. Step 6: Final answer
    x = 576,539.55

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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.