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Finding the Fourth Proportional to 384,355.40, 576,533.10 and 147,705.80

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Solution

The fourth proportional to 384,355.40, 576,533.10 and 147,705.80 is: 221,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,355.40 : 576,533.10 = 147,705.80 : x
  2. Step 2: Convert to fraction form
    384,355.40/576,533.10 = 147,705.80/x
  3. Step 3: Cross multiply
    384,355.40x = 576,533.10 × 147,705.80
  4. Step 4: Simplify right side
    384,355.40x = 85,157,282,761.98
  5. Step 5: Solve for x
    x = 85,157,282,761.98/384,355.40
  6. Step 6: Final answer
    x = 221,558.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.