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Finding the Fourth Proportional to 499,641.12, 689,729.91 and 318,596.40

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Solution

The fourth proportional to 499,641.12, 689,729.91 and 318,596.40 is: 439,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,641.12 : 689,729.91 = 318,596.40 : x
  2. Step 2: Convert to fraction form
    499,641.12/689,729.91 = 318,596.40/x
  3. Step 3: Cross multiply
    499,641.12x = 689,729.91 × 318,596.40
  4. Step 4: Simplify right side
    499,641.12x = 219,745,466,298.32
  5. Step 5: Solve for x
    x = 219,745,466,298.32/499,641.12
  6. Step 6: Final answer
    x = 439,806.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.