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Finding the Fourth Proportional to 384,164.71, 530,133.38 and 212,078.98

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Solution

The fourth proportional to 384,164.71, 530,133.38 and 212,078.98 is: 292,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,164.71 : 530,133.38 = 212,078.98 : x
  2. Step 2: Convert to fraction form
    384,164.71/530,133.38 = 212,078.98/x
  3. Step 3: Cross multiply
    384,164.71x = 530,133.38 × 212,078.98
  4. Step 4: Simplify right side
    384,164.71x = 112,430,144,108.62
  5. Step 5: Solve for x
    x = 112,430,144,108.62/384,164.71
  6. Step 6: Final answer
    x = 292,661.30

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1.5x scale

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.