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Finding the Fourth Proportional to 428,870.20, 643,305.30 and 322,425.40

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Solution

The fourth proportional to 428,870.20, 643,305.30 and 322,425.40 is: 483,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,870.20 : 643,305.30 = 322,425.40 : x
  2. Step 2: Convert to fraction form
    428,870.20/643,305.30 = 322,425.40/x
  3. Step 3: Cross multiply
    428,870.20x = 643,305.30 × 322,425.40
  4. Step 4: Simplify right side
    428,870.20x = 207,417,968,674.62
  5. Step 5: Solve for x
    x = 207,417,968,674.62/428,870.20
  6. Step 6: Final answer
    x = 483,638.10

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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.