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Finding the Fourth Proportional to 428,941.80, 643,412.70 and 329,603.40

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Solution

The fourth proportional to 428,941.80, 643,412.70 and 329,603.40 is: 494,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,941.80 : 643,412.70 = 329,603.40 : x
  2. Step 2: Convert to fraction form
    428,941.80/643,412.70 = 329,603.40/x
  3. Step 3: Cross multiply
    428,941.80x = 643,412.70 × 329,603.40
  4. Step 4: Simplify right side
    428,941.80x = 212,071,013,523.18
  5. Step 5: Solve for x
    x = 212,071,013,523.18/428,941.80
  6. Step 6: Final answer
    x = 494,405.10

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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.