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Finding the Fourth Proportional to 517,721.24, 714,675.76 and 348,053.78

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Solution

The fourth proportional to 517,721.24, 714,675.76 and 348,053.78 is: 480,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,721.24 : 714,675.76 = 348,053.78 : x
  2. Step 2: Convert to fraction form
    517,721.24/714,675.76 = 348,053.78/x
  3. Step 3: Cross multiply
    517,721.24x = 714,675.76 × 348,053.78
  4. Step 4: Simplify right side
    517,721.24x = 248,745,599,742.37
  5. Step 5: Solve for x
    x = 248,745,599,742.37/517,721.24
  6. Step 6: Final answer
    x = 480,462.42

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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.