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Finding the Fourth Proportional to 513,273.91, 708,322.58 and 283,846.64

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Solution

The fourth proportional to 513,273.91, 708,322.58 and 283,846.64 is: 391,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,273.91 : 708,322.58 = 283,846.64 : x
  2. Step 2: Convert to fraction form
    513,273.91/708,322.58 = 283,846.64/x
  3. Step 3: Cross multiply
    513,273.91x = 708,322.58 × 283,846.64
  4. Step 4: Simplify right side
    513,273.91x = 201,054,980,472.71
  5. Step 5: Solve for x
    x = 201,054,980,472.71/513,273.91
  6. Step 6: Final answer
    x = 391,710.89

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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.