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Finding the Fourth Proportional to 438,435.60, 657,653.40 and 420,939.60

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Solution

The fourth proportional to 438,435.60, 657,653.40 and 420,939.60 is: 631,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,435.60 : 657,653.40 = 420,939.60 : x
  2. Step 2: Convert to fraction form
    438,435.60/657,653.40 = 420,939.60/x
  3. Step 3: Cross multiply
    438,435.60x = 657,653.40 × 420,939.60
  4. Step 4: Simplify right side
    438,435.60x = 276,832,359,134.64
  5. Step 5: Solve for x
    x = 276,832,359,134.64/438,435.60
  6. Step 6: Final answer
    x = 631,409.40

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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.