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Finding the Fourth Proportional to 384,571.62, 530,854.80 and 289,355.10

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Solution

The fourth proportional to 384,571.62, 530,854.80 and 289,355.10 is: 399,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,571.62 : 530,854.80 = 289,355.10 : x
  2. Step 2: Convert to fraction form
    384,571.62/530,854.80 = 289,355.10/x
  3. Step 3: Cross multiply
    384,571.62x = 530,854.80 × 289,355.10
  4. Step 4: Simplify right side
    384,571.62x = 153,605,543,739.48
  5. Step 5: Solve for x
    x = 153,605,543,739.48/384,571.62
  6. Step 6: Final answer
    x = 399,419.86

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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.