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Finding the Fourth Proportional to 459,778.29, 689,666.82 and 144,259.80

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Solution

The fourth proportional to 459,778.29, 689,666.82 and 144,259.80 is: 216,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,778.29 : 689,666.82 = 144,259.80 : x
  2. Step 2: Convert to fraction form
    459,778.29/689,666.82 = 144,259.80/x
  3. Step 3: Cross multiply
    459,778.29x = 689,666.82 × 144,259.80
  4. Step 4: Simplify right side
    459,778.29x = 99,491,197,519.84
  5. Step 5: Solve for x
    x = 99,491,197,519.84/459,778.29
  6. Step 6: Final answer
    x = 216,389.51

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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.