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Finding the Fourth Proportional to 517,221.64, 713,721.54 and 302,336.74

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Solution

The fourth proportional to 517,221.64, 713,721.54 and 302,336.74 is: 417,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,221.64 : 713,721.54 = 302,336.74 : x
  2. Step 2: Convert to fraction form
    517,221.64/713,721.54 = 302,336.74/x
  3. Step 3: Cross multiply
    517,221.64x = 713,721.54 × 302,336.74
  4. Step 4: Simplify right side
    517,221.64x = 215,784,243,671.38
  5. Step 5: Solve for x
    x = 215,784,243,671.38/517,221.64
  6. Step 6: Final answer
    x = 417,198.79

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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.