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Finding the Fourth Proportional to 517,216.78, 713,748.08 and 299,434.63

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Solution

The fourth proportional to 517,216.78, 713,748.08 and 299,434.63 is: 413,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,216.78 : 713,748.08 = 299,434.63 : x
  2. Step 2: Convert to fraction form
    517,216.78/713,748.08 = 299,434.63/x
  3. Step 3: Cross multiply
    517,216.78x = 713,748.08 × 299,434.63
  4. Step 4: Simplify right side
    517,216.78x = 213,720,890,750.84
  5. Step 5: Solve for x
    x = 213,720,890,750.84/517,216.78
  6. Step 6: Final answer
    x = 413,213.38

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Double scale
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1.5x scale

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.