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Finding the Fourth Proportional to 283,046.64, 390,604.35 and 155,719.50

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Solution

The fourth proportional to 283,046.64, 390,604.35 and 155,719.50 is: 214,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,046.64 : 390,604.35 = 155,719.50 : x
  2. Step 2: Convert to fraction form
    283,046.64/390,604.35 = 155,719.50/x
  3. Step 3: Cross multiply
    283,046.64x = 390,604.35 × 155,719.50
  4. Step 4: Simplify right side
    283,046.64x = 60,824,714,079.83
  5. Step 5: Solve for x
    x = 60,824,714,079.83/283,046.64
  6. Step 6: Final answer
    x = 214,892.90

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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.