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Finding the Fourth Proportional to 306,215.40, 459,416.49 and 156,560.81

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Solution

The fourth proportional to 306,215.40, 459,416.49 and 156,560.81 is: 234,888.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,215.40 : 459,416.49 = 156,560.81 : x
  2. Step 2: Convert to fraction form
    306,215.40/459,416.49 = 156,560.81/x
  3. Step 3: Cross multiply
    306,215.40x = 459,416.49 × 156,560.81
  4. Step 4: Simplify right side
    306,215.40x = 71,926,617,018.95
  5. Step 5: Solve for x
    x = 71,926,617,018.95/306,215.40
  6. Step 6: Final answer
    x = 234,888.96

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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.