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Finding the Fourth Proportional to 384,312.84, 530,311.44 and 223,136.40

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Solution

The fourth proportional to 384,312.84, 530,311.44 and 223,136.40 is: 307,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,312.84 : 530,311.44 = 223,136.40 : x
  2. Step 2: Convert to fraction form
    384,312.84/530,311.44 = 223,136.40/x
  3. Step 3: Cross multiply
    384,312.84x = 530,311.44 × 223,136.40
  4. Step 4: Simplify right side
    384,312.84x = 118,331,787,170.70
  5. Step 5: Solve for x
    x = 118,331,787,170.70/384,312.84
  6. Step 6: Final answer
    x = 307,904.85

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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.