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Finding the Fourth Proportional to 459,411.40, 689,192.70 and 143,792.20

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Solution

The fourth proportional to 459,411.40, 689,192.70 and 143,792.20 is: 215,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,411.40 : 689,192.70 = 143,792.20 : x
  2. Step 2: Convert to fraction form
    459,411.40/689,192.70 = 143,792.20/x
  3. Step 3: Cross multiply
    459,411.40x = 689,192.70 × 143,792.20
  4. Step 4: Simplify right side
    459,411.40x = 99,100,534,556.94
  5. Step 5: Solve for x
    x = 99,100,534,556.94/459,411.40
  6. Step 6: Final answer
    x = 215,711.96

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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.