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Finding the Fourth Proportional to 561,332.24, 774,378.60 and 322,730

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Solution

The fourth proportional to 561,332.24, 774,378.60 and 322,730 is: 445,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,332.24 : 774,378.60 = 322,730 : x
  2. Step 2: Convert to fraction form
    561,332.24/774,378.60 = 322,730/x
  3. Step 3: Cross multiply
    561,332.24x = 774,378.60 × 322,730
  4. Step 4: Simplify right side
    561,332.24x = 249,915,205,578
  5. Step 5: Solve for x
    x = 249,915,205,578/561,332.24
  6. Step 6: Final answer
    x = 445,217.98

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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.