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Finding the Fourth Proportional to 428,253.06, 590,994.28 and 234,666.30

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Solution

The fourth proportional to 428,253.06, 590,994.28 and 234,666.30 is: 323,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,253.06 : 590,994.28 = 234,666.30 : x
  2. Step 2: Convert to fraction form
    428,253.06/590,994.28 = 234,666.30/x
  3. Step 3: Cross multiply
    428,253.06x = 590,994.28 × 234,666.30
  4. Step 4: Simplify right side
    428,253.06x = 138,686,441,008.76
  5. Step 5: Solve for x
    x = 138,686,441,008.76/428,253.06
  6. Step 6: Final answer
    x = 323,842.27

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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.