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Finding the Fourth Proportional to 286,476.84, 427,612.41 and 265,365

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Solution

The fourth proportional to 286,476.84, 427,612.41 and 265,365 is: 396,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,476.84 : 427,612.41 = 265,365 : x
  2. Step 2: Convert to fraction form
    286,476.84/427,612.41 = 265,365/x
  3. Step 3: Cross multiply
    286,476.84x = 427,612.41 × 265,365
  4. Step 4: Simplify right side
    286,476.84x = 113,473,367,179.65
  5. Step 5: Solve for x
    x = 113,473,367,179.65/286,476.84
  6. Step 6: Final answer
    x = 396,099.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.