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Finding the Fourth Proportional to 458,700.48, 687,690.18 and 289,865.70

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Solution

The fourth proportional to 458,700.48, 687,690.18 and 289,865.70 is: 434,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,700.48 : 687,690.18 = 289,865.70 : x
  2. Step 2: Convert to fraction form
    458,700.48/687,690.18 = 289,865.70/x
  3. Step 3: Cross multiply
    458,700.48x = 687,690.18 × 289,865.70
  4. Step 4: Simplify right side
    458,700.48x = 199,337,795,408.83
  5. Step 5: Solve for x
    x = 199,337,795,408.83/458,700.48
  6. Step 6: Final answer
    x = 434,570.71

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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.