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Finding the Fourth Proportional to 459,603.20, 689,469.60 and 144,027.20

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Solution

The fourth proportional to 459,603.20, 689,469.60 and 144,027.20 is: 216,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,603.20 : 689,469.60 = 144,027.20 : x
  2. Step 2: Convert to fraction form
    459,603.20/689,469.60 = 144,027.20/x
  3. Step 3: Cross multiply
    459,603.20x = 689,469.60 × 144,027.20
  4. Step 4: Simplify right side
    459,603.20x = 99,302,375,973.12
  5. Step 5: Solve for x
    x = 99,302,375,973.12/459,603.20
  6. Step 6: Final answer
    x = 216,061.11

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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.