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Finding the Fourth Proportional to 459,650.88, 689,476.32 and 144,133.20

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Solution

The fourth proportional to 459,650.88, 689,476.32 and 144,133.20 is: 216,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,650.88 : 689,476.32 = 144,133.20 : x
  2. Step 2: Convert to fraction form
    459,650.88/689,476.32 = 144,133.20/x
  3. Step 3: Cross multiply
    459,650.88x = 689,476.32 × 144,133.20
  4. Step 4: Simplify right side
    459,650.88x = 99,376,428,325.82
  5. Step 5: Solve for x
    x = 99,376,428,325.82/459,650.88
  6. Step 6: Final answer
    x = 216,199.80

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Similar ratio
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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.