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Finding the Fourth Proportional to 428,005.62, 590,647.96 and 234,425.53

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Solution

The fourth proportional to 428,005.62, 590,647.96 and 234,425.53 is: 323,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,005.62 : 590,647.96 = 234,425.53 : x
  2. Step 2: Convert to fraction form
    428,005.62/590,647.96 = 234,425.53/x
  3. Step 3: Cross multiply
    428,005.62x = 590,647.96 × 234,425.53
  4. Step 4: Simplify right side
    428,005.62x = 138,462,960,607.84
  5. Step 5: Solve for x
    x = 138,462,960,607.84/428,005.62
  6. Step 6: Final answer
    x = 323,507.34

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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.