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Finding the Fourth Proportional to 459,083.40, 688,625.10 and 279,457.80

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Solution

The fourth proportional to 459,083.40, 688,625.10 and 279,457.80 is: 419,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,083.40 : 688,625.10 = 279,457.80 : x
  2. Step 2: Convert to fraction form
    459,083.40/688,625.10 = 279,457.80/x
  3. Step 3: Cross multiply
    459,083.40x = 688,625.10 × 279,457.80
  4. Step 4: Simplify right side
    459,083.40x = 192,441,655,470.78
  5. Step 5: Solve for x
    x = 192,441,655,470.78/459,083.40
  6. Step 6: Final answer
    x = 419,186.70

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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.