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Finding the Fourth Proportional to 428,652,031.20, 642,978,046.80 and 425,628,722.40

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Solution

The fourth proportional to 428,652,031.20, 642,978,046.80 and 425,628,722.40 is: 638,443,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,652,031.20 : 642,978,046.80 = 425,628,722.40 : x
  2. Step 2: Convert to fraction form
    428,652,031.20/642,978,046.80 = 425,628,722.40/x
  3. Step 3: Cross multiply
    428,652,031.20x = 642,978,046.80 × 425,628,722.40
  4. Step 4: Simplify right side
    428,652,031.20x = 273,669,924,590,731,360
  5. Step 5: Solve for x
    x = 273,669,924,590,731,360/428,652,031.20
  6. Step 6: Final answer
    x = 638,443,083.60

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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.