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Finding the Fourth Proportional to 517,022.25, 713,490.71 and 302,342.69

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Solution

The fourth proportional to 517,022.25, 713,490.71 and 302,342.69 is: 417,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,022.25 : 713,490.71 = 302,342.69 : x
  2. Step 2: Convert to fraction form
    517,022.25/713,490.71 = 302,342.69/x
  3. Step 3: Cross multiply
    517,022.25x = 713,490.71 × 302,342.69
  4. Step 4: Simplify right side
    517,022.25x = 215,718,695,472.24
  5. Step 5: Solve for x
    x = 215,718,695,472.24/517,022.25
  6. Step 6: Final answer
    x = 417,232.91

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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.