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Finding the Fourth Proportional to 438,605.60, 657,908.40 and 202,409.60

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Solution

The fourth proportional to 438,605.60, 657,908.40 and 202,409.60 is: 303,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,605.60 : 657,908.40 = 202,409.60 : x
  2. Step 2: Convert to fraction form
    438,605.60/657,908.40 = 202,409.60/x
  3. Step 3: Cross multiply
    438,605.60x = 657,908.40 × 202,409.60
  4. Step 4: Simplify right side
    438,605.60x = 133,166,976,080.64
  5. Step 5: Solve for x
    x = 133,166,976,080.64/438,605.60
  6. Step 6: Final answer
    x = 303,614.40

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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.