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Finding the Fourth Proportional to 306,114.30, 459,390.15 and 128,748.60

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Solution

The fourth proportional to 306,114.30, 459,390.15 and 128,748.60 is: 193,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,114.30 : 459,390.15 = 128,748.60 : x
  2. Step 2: Convert to fraction form
    306,114.30/459,390.15 = 128,748.60/x
  3. Step 3: Cross multiply
    306,114.30x = 459,390.15 × 128,748.60
  4. Step 4: Simplify right side
    306,114.30x = 59,145,838,666.29
  5. Step 5: Solve for x
    x = 59,145,838,666.29/306,114.30
  6. Step 6: Final answer
    x = 193,214.88

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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.