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Finding the Fourth Proportional to 348,510, 480,869.64 and 205,217.76

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Solution

The fourth proportional to 348,510, 480,869.64 and 205,217.76 is: 283,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,510 : 480,869.64 = 205,217.76 : x
  2. Step 2: Convert to fraction form
    348,510/480,869.64 = 205,217.76/x
  3. Step 3: Cross multiply
    348,510x = 480,869.64 × 205,217.76
  4. Step 4: Simplify right side
    348,510x = 98,682,990,372.81
  5. Step 5: Solve for x
    x = 98,682,990,372.81/348,510
  6. Step 6: Final answer
    x = 283,156.84

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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.