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Finding the Fourth Proportional to 243,328, 335,698.68 and 152,646.88

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Solution

The fourth proportional to 243,328, 335,698.68 and 152,646.88 is: 210,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,328 : 335,698.68 = 152,646.88 : x
  2. Step 2: Convert to fraction form
    243,328/335,698.68 = 152,646.88/x
  3. Step 3: Cross multiply
    243,328x = 335,698.68 × 152,646.88
  4. Step 4: Simplify right side
    243,328x = 51,243,356,122.12
  5. Step 5: Solve for x
    x = 51,243,356,122.12/243,328
  6. Step 6: Final answer
    x = 210,593.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.