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Finding the Fourth Proportional to 589,411.92, 813,457.59 and 331,289.22

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Solution

The fourth proportional to 589,411.92, 813,457.59 and 331,289.22 is: 457,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,411.92 : 813,457.59 = 331,289.22 : x
  2. Step 2: Convert to fraction form
    589,411.92/813,457.59 = 331,289.22/x
  3. Step 3: Cross multiply
    589,411.92x = 813,457.59 × 331,289.22
  4. Step 4: Simplify right side
    589,411.92x = 269,489,730,494.18
  5. Step 5: Solve for x
    x = 269,489,730,494.18/589,411.92
  6. Step 6: Final answer
    x = 457,217.99

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Double scale
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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.