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Finding the Fourth Proportional to 384,320.71, 530,583.90 and 255,433.93

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Solution

The fourth proportional to 384,320.71, 530,583.90 and 255,433.93 is: 352,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,320.71 : 530,583.90 = 255,433.93 : x
  2. Step 2: Convert to fraction form
    384,320.71/530,583.90 = 255,433.93/x
  3. Step 3: Cross multiply
    384,320.71x = 530,583.90 × 255,433.93
  4. Step 4: Simplify right side
    384,320.71x = 135,529,130,771.73
  5. Step 5: Solve for x
    x = 135,529,130,771.73/384,320.71
  6. Step 6: Final answer
    x = 352,645.92

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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.