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Finding the Fourth Proportional to 306,301.64, 459,461.10 and 84,685.64

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Solution

The fourth proportional to 306,301.64, 459,461.10 and 84,685.64 is: 127,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,301.64 : 459,461.10 = 84,685.64 : x
  2. Step 2: Convert to fraction form
    306,301.64/459,461.10 = 84,685.64/x
  3. Step 3: Cross multiply
    306,301.64x = 459,461.10 × 84,685.64
  4. Step 4: Simplify right side
    306,301.64x = 38,909,757,308.60
  5. Step 5: Solve for x
    x = 38,909,757,308.60/306,301.64
  6. Step 6: Final answer
    x = 127,030.85

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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.