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Finding the Fourth Proportional to 517,591.50, 714,287.21 and 291,237

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Solution

The fourth proportional to 517,591.50, 714,287.21 and 291,237 is: 401,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,591.50 : 714,287.21 = 291,237 : x
  2. Step 2: Convert to fraction form
    517,591.50/714,287.21 = 291,237/x
  3. Step 3: Cross multiply
    517,591.50x = 714,287.21 × 291,237
  4. Step 4: Simplify right side
    517,591.50x = 208,026,864,178.77
  5. Step 5: Solve for x
    x = 208,026,864,178.77/517,591.50
  6. Step 6: Final answer
    x = 401,913.22

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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.