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Finding the Fourth Proportional to 470,913.64, 650,049.06 and 289,699

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Solution

The fourth proportional to 470,913.64, 650,049.06 and 289,699 is: 399,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,913.64 : 650,049.06 = 289,699 : x
  2. Step 2: Convert to fraction form
    470,913.64/650,049.06 = 289,699/x
  3. Step 3: Cross multiply
    470,913.64x = 650,049.06 × 289,699
  4. Step 4: Simplify right side
    470,913.64x = 188,318,562,632.94
  5. Step 5: Solve for x
    x = 188,318,562,632.94/470,913.64
  6. Step 6: Final answer
    x = 399,900.42

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1.5x scale

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.