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Finding the Fourth Proportional to 384,119.60, 530,032.08 and 214,320.80

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Solution

The fourth proportional to 384,119.60, 530,032.08 and 214,320.80 is: 295,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,119.60 : 530,032.08 = 214,320.80 : x
  2. Step 2: Convert to fraction form
    384,119.60/530,032.08 = 214,320.80/x
  3. Step 3: Cross multiply
    384,119.60x = 530,032.08 × 214,320.80
  4. Step 4: Simplify right side
    384,119.60x = 113,596,899,411.26
  5. Step 5: Solve for x
    x = 113,596,899,411.26/384,119.60
  6. Step 6: Final answer
    x = 295,733.15

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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.