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Finding the Fourth Proportional to 306,475.40, 459,713.10 and 149,011.40

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Solution

The fourth proportional to 306,475.40, 459,713.10 and 149,011.40 is: 223,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,475.40 : 459,713.10 = 149,011.40 : x
  2. Step 2: Convert to fraction form
    306,475.40/459,713.10 = 149,011.40/x
  3. Step 3: Cross multiply
    306,475.40x = 459,713.10 × 149,011.40
  4. Step 4: Simplify right side
    306,475.40x = 68,502,492,629.34
  5. Step 5: Solve for x
    x = 68,502,492,629.34/306,475.40
  6. Step 6: Final answer
    x = 223,517.10

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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.