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Finding the Fourth Proportional to 459,745, 689,617.66 and 144,226.60

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Solution

The fourth proportional to 459,745, 689,617.66 and 144,226.60 is: 216,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,745 : 689,617.66 = 144,226.60 : x
  2. Step 2: Convert to fraction form
    459,745/689,617.66 = 144,226.60/x
  3. Step 3: Cross multiply
    459,745x = 689,617.66 × 144,226.60
  4. Step 4: Simplify right side
    459,745x = 99,461,210,401.76
  5. Step 5: Solve for x
    x = 99,461,210,401.76/459,745
  6. Step 6: Final answer
    x = 216,339.95

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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.