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Finding the Fourth Proportional to 553,955.76, 830,769.62 and 154,500.21

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Solution

The fourth proportional to 553,955.76, 830,769.62 and 154,500.21 is: 231,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,955.76 : 830,769.62 = 154,500.21 : x
  2. Step 2: Convert to fraction form
    553,955.76/830,769.62 = 154,500.21/x
  3. Step 3: Cross multiply
    553,955.76x = 830,769.62 × 154,500.21
  4. Step 4: Simplify right side
    553,955.76x = 128,354,079,979.12
  5. Step 5: Solve for x
    x = 128,354,079,979.12/553,955.76
  6. Step 6: Final answer
    x = 231,704.57

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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.