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Finding the Fourth Proportional to 286,543.84, 427,712.60 and 265,432

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Solution

The fourth proportional to 286,543.84, 427,712.60 and 265,432 is: 396,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,543.84 : 427,712.60 = 265,432 : x
  2. Step 2: Convert to fraction form
    286,543.84/427,712.60 = 265,432/x
  3. Step 3: Cross multiply
    286,543.84x = 427,712.60 × 265,432
  4. Step 4: Simplify right side
    286,543.84x = 113,528,610,843.20
  5. Step 5: Solve for x
    x = 113,528,610,843.20/286,543.84
  6. Step 6: Final answer
    x = 396,199.80

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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.