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Finding the Fourth Proportional to 384,864.84, 531,130.08 and 219,297.96

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Solution

The fourth proportional to 384,864.84, 531,130.08 and 219,297.96 is: 302,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,864.84 : 531,130.08 = 219,297.96 : x
  2. Step 2: Convert to fraction form
    384,864.84/531,130.08 = 219,297.96/x
  3. Step 3: Cross multiply
    384,864.84x = 531,130.08 × 219,297.96
  4. Step 4: Simplify right side
    384,864.84x = 116,475,743,038.64
  5. Step 5: Solve for x
    x = 116,475,743,038.64/384,864.84
  6. Step 6: Final answer
    x = 302,640.64

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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.