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Finding the Fourth Proportional to 516,388.98, 712,602.57 and 286,940.34

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Solution

The fourth proportional to 516,388.98, 712,602.57 and 286,940.34 is: 395,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,388.98 : 712,602.57 = 286,940.34 : x
  2. Step 2: Convert to fraction form
    516,388.98/712,602.57 = 286,940.34/x
  3. Step 3: Cross multiply
    516,388.98x = 712,602.57 × 286,940.34
  4. Step 4: Simplify right side
    516,388.98x = 204,474,423,720.67
  5. Step 5: Solve for x
    x = 204,474,423,720.67/516,388.98
  6. Step 6: Final answer
    x = 395,969.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.