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Finding the Fourth Proportional to 459,505.96, 634,147.30 and 258,314.92

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Solution

The fourth proportional to 459,505.96, 634,147.30 and 258,314.92 is: 356,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,505.96 : 634,147.30 = 258,314.92 : x
  2. Step 2: Convert to fraction form
    459,505.96/634,147.30 = 258,314.92/x
  3. Step 3: Cross multiply
    459,505.96x = 634,147.30 × 258,314.92
  4. Step 4: Simplify right side
    459,505.96x = 163,809,709,067.72
  5. Step 5: Solve for x
    x = 163,809,709,067.72/459,505.96
  6. Step 6: Final answer
    x = 356,490.93

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1.5x scale

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.