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Finding the Fourth Proportional to 306,259.48, 459,352.77 and 81,636.76

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Solution

The fourth proportional to 306,259.48, 459,352.77 and 81,636.76 is: 122,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,259.48 : 459,352.77 = 81,636.76 : x
  2. Step 2: Convert to fraction form
    306,259.48/459,352.77 = 81,636.76/x
  3. Step 3: Cross multiply
    306,259.48x = 459,352.77 × 81,636.76
  4. Step 4: Simplify right side
    306,259.48x = 37,500,071,839.83
  5. Step 5: Solve for x
    x = 37,500,071,839.83/306,259.48
  6. Step 6: Final answer
    x = 122,445.42

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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.