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Finding the Fourth Proportional to 478,731.52, 716,706.56 and 278,440.96

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Solution

The fourth proportional to 478,731.52, 716,706.56 and 278,440.96 is: 416,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,731.52 : 716,706.56 = 278,440.96 : x
  2. Step 2: Convert to fraction form
    478,731.52/716,706.56 = 278,440.96/x
  3. Step 3: Cross multiply
    478,731.52x = 716,706.56 × 278,440.96
  4. Step 4: Simplify right side
    478,731.52x = 199,560,462,604.70
  5. Step 5: Solve for x
    x = 199,560,462,604.70/478,731.52
  6. Step 6: Final answer
    x = 416,852.57

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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.