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Finding the Fourth Proportional to 657,813.60, 986,428.80 and 302,936.40

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Solution

The fourth proportional to 657,813.60, 986,428.80 and 302,936.40 is: 454,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,813.60 : 986,428.80 = 302,936.40 : x
  2. Step 2: Convert to fraction form
    657,813.60/986,428.80 = 302,936.40/x
  3. Step 3: Cross multiply
    657,813.60x = 986,428.80 × 302,936.40
  4. Step 4: Simplify right side
    657,813.60x = 298,825,189,528.32
  5. Step 5: Solve for x
    x = 298,825,189,528.32/657,813.60
  6. Step 6: Final answer
    x = 454,270.31

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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.