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Finding the Fourth Proportional to 335,643.40, 503,465.10 and 274,203.40

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Solution

The fourth proportional to 335,643.40, 503,465.10 and 274,203.40 is: 411,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,643.40 : 503,465.10 = 274,203.40 : x
  2. Step 2: Convert to fraction form
    335,643.40/503,465.10 = 274,203.40/x
  3. Step 3: Cross multiply
    335,643.40x = 503,465.10 × 274,203.40
  4. Step 4: Simplify right side
    335,643.40x = 138,051,842,201.34
  5. Step 5: Solve for x
    x = 138,051,842,201.34/335,643.40
  6. Step 6: Final answer
    x = 411,305.10

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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.