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Finding the Fourth Proportional to 243,084.60, 335,448 and 152,489.34

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Solution

The fourth proportional to 243,084.60, 335,448 and 152,489.34 is: 210,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,084.60 : 335,448 = 152,489.34 : x
  2. Step 2: Convert to fraction form
    243,084.60/335,448 = 152,489.34/x
  3. Step 3: Cross multiply
    243,084.60x = 335,448 × 152,489.34
  4. Step 4: Simplify right side
    243,084.60x = 51,152,244,124.32
  5. Step 5: Solve for x
    x = 51,152,244,124.32/243,084.60
  6. Step 6: Final answer
    x = 210,429.80

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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.