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Finding the Fourth Proportional to 306,323.76, 459,507.56 and 81,683

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Solution

The fourth proportional to 306,323.76, 459,507.56 and 81,683 is: 122,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,323.76 : 459,507.56 = 81,683 : x
  2. Step 2: Convert to fraction form
    306,323.76/459,507.56 = 81,683/x
  3. Step 3: Cross multiply
    306,323.76x = 459,507.56 × 81,683
  4. Step 4: Simplify right side
    306,323.76x = 37,533,956,023.48
  5. Step 5: Solve for x
    x = 37,533,956,023.48/306,323.76
  6. Step 6: Final answer
    x = 122,530.35

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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.