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Finding the Fourth Proportional to 243,324, 335,693.16 and 152,642.88

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Solution

The fourth proportional to 243,324, 335,693.16 and 152,642.88 is: 210,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,324 : 335,693.16 = 152,642.88 : x
  2. Step 2: Convert to fraction form
    243,324/335,693.16 = 152,642.88/x
  3. Step 3: Cross multiply
    243,324x = 335,693.16 × 152,642.88
  4. Step 4: Simplify right side
    243,324x = 51,241,170,738.70
  5. Step 5: Solve for x
    x = 51,241,170,738.70/243,324
  6. Step 6: Final answer
    x = 210,588.23

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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.