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Finding the Fourth Proportional to 469,708.64, 704,641.20 and 154,080.80

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Solution

The fourth proportional to 469,708.64, 704,641.20 and 154,080.80 is: 231,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,708.64 : 704,641.20 = 154,080.80 : x
  2. Step 2: Convert to fraction form
    469,708.64/704,641.20 = 154,080.80/x
  3. Step 3: Cross multiply
    469,708.64x = 704,641.20 × 154,080.80
  4. Step 4: Simplify right side
    469,708.64x = 108,571,679,808.96
  5. Step 5: Solve for x
    x = 108,571,679,808.96/469,708.64
  6. Step 6: Final answer
    x = 231,146.87

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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.