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Finding the Fourth Proportional to 384,074.83, 530,222.55 and 280,592.97

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Solution

The fourth proportional to 384,074.83, 530,222.55 and 280,592.97 is: 387,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,074.83 : 530,222.55 = 280,592.97 : x
  2. Step 2: Convert to fraction form
    384,074.83/530,222.55 = 280,592.97/x
  3. Step 3: Cross multiply
    384,074.83x = 530,222.55 × 280,592.97
  4. Step 4: Simplify right side
    384,074.83x = 148,776,720,065.47
  5. Step 5: Solve for x
    x = 148,776,720,065.47/384,074.83
  6. Step 6: Final answer
    x = 387,363.89

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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.