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Finding the Fourth Proportional to 301,865.76, 452,814.15 and 77,228.13

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Solution

The fourth proportional to 301,865.76, 452,814.15 and 77,228.13 is: 115,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,865.76 : 452,814.15 = 77,228.13 : x
  2. Step 2: Convert to fraction form
    301,865.76/452,814.15 = 77,228.13/x
  3. Step 3: Cross multiply
    301,865.76x = 452,814.15 × 77,228.13
  4. Step 4: Simplify right side
    301,865.76x = 34,969,990,042.04
  5. Step 5: Solve for x
    x = 34,969,990,042.04/301,865.76
  6. Step 6: Final answer
    x = 115,846.16

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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.