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Finding the Fourth Proportional to 469,505.46, 703,056.14 and 258,909.78

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Solution

The fourth proportional to 469,505.46, 703,056.14 and 258,909.78 is: 387,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,505.46 : 703,056.14 = 258,909.78 : x
  2. Step 2: Convert to fraction form
    469,505.46/703,056.14 = 258,909.78/x
  3. Step 3: Cross multiply
    469,505.46x = 703,056.14 × 258,909.78
  4. Step 4: Simplify right side
    469,505.46x = 182,028,110,535.05
  5. Step 5: Solve for x
    x = 182,028,110,535.05/469,505.46
  6. Step 6: Final answer
    x = 387,701.80

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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.