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Finding the Fourth Proportional to 306,444.48, 459,665.12 and 78,739.92

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Solution

The fourth proportional to 306,444.48, 459,665.12 and 78,739.92 is: 118,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,444.48 : 459,665.12 = 78,739.92 : x
  2. Step 2: Convert to fraction form
    306,444.48/459,665.12 = 78,739.92/x
  3. Step 3: Cross multiply
    306,444.48x = 459,665.12 × 78,739.92
  4. Step 4: Simplify right side
    306,444.48x = 36,193,994,775.59
  5. Step 5: Solve for x
    x = 36,193,994,775.59/306,444.48
  6. Step 6: Final answer
    x = 118,109.47

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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.