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Finding the Fourth Proportional to 306,248.78, 459,371.59 and 78,543.34

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Solution

The fourth proportional to 306,248.78, 459,371.59 and 78,543.34 is: 117,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,248.78 : 459,371.59 = 78,543.34 : x
  2. Step 2: Convert to fraction form
    306,248.78/459,371.59 = 78,543.34/x
  3. Step 3: Cross multiply
    306,248.78x = 459,371.59 × 78,543.34
  4. Step 4: Simplify right side
    306,248.78x = 36,080,577,634.92
  5. Step 5: Solve for x
    x = 36,080,577,634.92/306,248.78
  6. Step 6: Final answer
    x = 117,814.60

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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.