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Finding the Fourth Proportional to 459,752.78, 634,462 and 255,812.34

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Solution

The fourth proportional to 459,752.78, 634,462 and 255,812.34 is: 353,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,752.78 : 634,462 = 255,812.34 : x
  2. Step 2: Convert to fraction form
    459,752.78/634,462 = 255,812.34/x
  3. Step 3: Cross multiply
    459,752.78x = 634,462 × 255,812.34
  4. Step 4: Simplify right side
    459,752.78x = 162,303,208,861.08
  5. Step 5: Solve for x
    x = 162,303,208,861.08/459,752.78
  6. Step 6: Final answer
    x = 353,022.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.