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Finding the Fourth Proportional to 243,315.40, 364,908.30 and 74,835.40

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Solution

The fourth proportional to 243,315.40, 364,908.30 and 74,835.40 is: 112,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,315.40 : 364,908.30 = 74,835.40 : x
  2. Step 2: Convert to fraction form
    243,315.40/364,908.30 = 74,835.40/x
  3. Step 3: Cross multiply
    243,315.40x = 364,908.30 × 74,835.40
  4. Step 4: Simplify right side
    243,315.40x = 27,308,058,593.82
  5. Step 5: Solve for x
    x = 27,308,058,593.82/243,315.40
  6. Step 6: Final answer
    x = 112,233.17

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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.