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Finding the Fourth Proportional to 517,630.94, 714,145.82 and 299,720.69

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Solution

The fourth proportional to 517,630.94, 714,145.82 and 299,720.69 is: 413,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,630.94 : 714,145.82 = 299,720.69 : x
  2. Step 2: Convert to fraction form
    517,630.94/714,145.82 = 299,720.69/x
  3. Step 3: Cross multiply
    517,630.94x = 714,145.82 × 299,720.69
  4. Step 4: Simplify right side
    517,630.94x = 214,044,272,861.68
  5. Step 5: Solve for x
    x = 214,044,272,861.68/517,630.94
  6. Step 6: Final answer
    x = 413,507.50

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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.