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Finding the Fourth Proportional to 428,153.48, 642,628.76 and 217,948.76

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Solution

The fourth proportional to 428,153.48, 642,628.76 and 217,948.76 is: 327,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,153.48 : 642,628.76 = 217,948.76 : x
  2. Step 2: Convert to fraction form
    428,153.48/642,628.76 = 217,948.76/x
  3. Step 3: Cross multiply
    428,153.48x = 642,628.76 × 217,948.76
  4. Step 4: Simplify right side
    428,153.48x = 140,060,141,382.34
  5. Step 5: Solve for x
    x = 140,060,141,382.34/428,153.48
  6. Step 6: Final answer
    x = 327,126.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.