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Finding the Fourth Proportional to 425,427.20, 638,140.80 and 414,929.60

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Solution

The fourth proportional to 425,427.20, 638,140.80 and 414,929.60 is: 622,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,427.20 : 638,140.80 = 414,929.60 : x
  2. Step 2: Convert to fraction form
    425,427.20/638,140.80 = 414,929.60/x
  3. Step 3: Cross multiply
    425,427.20x = 638,140.80 × 414,929.60
  4. Step 4: Simplify right side
    425,427.20x = 264,783,506,887.68
  5. Step 5: Solve for x
    x = 264,783,506,887.68/425,427.20
  6. Step 6: Final answer
    x = 622,394.40

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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.