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Finding the Fourth Proportional to 380,339,449.79, 569,689,205.04 and 256,838,650.82

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Solution

The fourth proportional to 380,339,449.79, 569,689,205.04 and 256,838,650.82 is: 384,704,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,339,449.79 : 569,689,205.04 = 256,838,650.82 : x
  2. Step 2: Convert to fraction form
    380,339,449.79/569,689,205.04 = 256,838,650.82/x
  3. Step 3: Cross multiply
    380,339,449.79x = 569,689,205.04 × 256,838,650.82
  4. Step 4: Simplify right side
    380,339,449.79x = 146,318,206,806,154,144
  5. Step 5: Solve for x
    x = 146,318,206,806,154,144/380,339,449.79
  6. Step 6: Final answer
    x = 384,704,260.60

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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.