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Finding the Fourth Proportional to 459,712.20, 689,762.70 and 291,361.80

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Solution

The fourth proportional to 459,712.20, 689,762.70 and 291,361.80 is: 437,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,712.20 : 689,762.70 = 291,361.80 : x
  2. Step 2: Convert to fraction form
    459,712.20/689,762.70 = 291,361.80/x
  3. Step 3: Cross multiply
    459,712.20x = 689,762.70 × 291,361.80
  4. Step 4: Simplify right side
    459,712.20x = 200,970,501,844.86
  5. Step 5: Solve for x
    x = 200,970,501,844.86/459,712.20
  6. Step 6: Final answer
    x = 437,165.91

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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.