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Finding the Fourth Proportional to 283,202.83, 390,812.43 and 154,143.82

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Solution

The fourth proportional to 283,202.83, 390,812.43 and 154,143.82 is: 212,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,202.83 : 390,812.43 = 154,143.82 : x
  2. Step 2: Convert to fraction form
    283,202.83/390,812.43 = 154,143.82/x
  3. Step 3: Cross multiply
    283,202.83x = 390,812.43 × 154,143.82
  4. Step 4: Simplify right side
    283,202.83x = 60,241,320,863.68
  5. Step 5: Solve for x
    x = 60,241,320,863.68/283,202.83
  6. Step 6: Final answer
    x = 212,714.40

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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.