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Finding the Fourth Proportional to 299,712.59, 447,382.51 and 261,878.20

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Solution

The fourth proportional to 299,712.59, 447,382.51 and 261,878.20 is: 390,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,712.59 : 447,382.51 = 261,878.20 : x
  2. Step 2: Convert to fraction form
    299,712.59/447,382.51 = 261,878.20/x
  3. Step 3: Cross multiply
    299,712.59x = 447,382.51 × 261,878.20
  4. Step 4: Simplify right side
    299,712.59x = 117,159,724,657.13
  5. Step 5: Solve for x
    x = 117,159,724,657.13/299,712.59
  6. Step 6: Final answer
    x = 390,906.92

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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.