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Finding the Fourth Proportional to 564,459.83, 778,954.97 and 306,336.71

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Solution

The fourth proportional to 564,459.83, 778,954.97 and 306,336.71 is: 422,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,459.83 : 778,954.97 = 306,336.71 : x
  2. Step 2: Convert to fraction form
    564,459.83/778,954.97 = 306,336.71/x
  3. Step 3: Cross multiply
    564,459.83x = 778,954.97 × 306,336.71
  4. Step 4: Simplify right side
    564,459.83x = 238,622,497,321.49
  5. Step 5: Solve for x
    x = 238,622,497,321.49/564,459.83
  6. Step 6: Final answer
    x = 422,744.87

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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.