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Finding the Fourth Proportional to 517,064.55, 713,315.86 and 302,107.96

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Solution

The fourth proportional to 517,064.55, 713,315.86 and 302,107.96 is: 416,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,064.55 : 713,315.86 = 302,107.96 : x
  2. Step 2: Convert to fraction form
    517,064.55/713,315.86 = 302,107.96/x
  3. Step 3: Cross multiply
    517,064.55x = 713,315.86 × 302,107.96
  4. Step 4: Simplify right side
    517,064.55x = 215,498,399,300.25
  5. Step 5: Solve for x
    x = 215,498,399,300.25/517,064.55
  6. Step 6: Final answer
    x = 416,772.72

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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.