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Finding the Fourth Proportional to 428,598.84, 642,903.12 and 162,287.04

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Solution

The fourth proportional to 428,598.84, 642,903.12 and 162,287.04 is: 243,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,598.84 : 642,903.12 = 162,287.04 : x
  2. Step 2: Convert to fraction form
    428,598.84/642,903.12 = 162,287.04/x
  3. Step 3: Cross multiply
    428,598.84x = 642,903.12 × 162,287.04
  4. Step 4: Simplify right side
    428,598.84x = 104,334,844,351.57
  5. Step 5: Solve for x
    x = 104,334,844,351.57/428,598.84
  6. Step 6: Final answer
    x = 243,432.40

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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.