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Finding the Fourth Proportional to 517,350, 713,835.48 and 302,447.92

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Solution

The fourth proportional to 517,350, 713,835.48 and 302,447.92 is: 417,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,350 : 713,835.48 = 302,447.92 : x
  2. Step 2: Convert to fraction form
    517,350/713,835.48 = 302,447.92/x
  3. Step 3: Cross multiply
    517,350x = 713,835.48 × 302,447.92
  4. Step 4: Simplify right side
    517,350x = 215,898,056,148.20
  5. Step 5: Solve for x
    x = 215,898,056,148.20/517,350
  6. Step 6: Final answer
    x = 417,315.27

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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.