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Finding the Fourth Proportional to 306,688.56, 459,877.32 and 140,334

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Solution

The fourth proportional to 306,688.56, 459,877.32 and 140,334 is: 210,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,688.56 : 459,877.32 = 140,334 : x
  2. Step 2: Convert to fraction form
    306,688.56/459,877.32 = 140,334/x
  3. Step 3: Cross multiply
    306,688.56x = 459,877.32 × 140,334
  4. Step 4: Simplify right side
    306,688.56x = 64,536,423,824.88
  5. Step 5: Solve for x
    x = 64,536,423,824.88/306,688.56
  6. Step 6: Final answer
    x = 210,429.84

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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.