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Finding the Fourth Proportional to 384,901.40, 531,142.50 and 212,809.42

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Solution

The fourth proportional to 384,901.40, 531,142.50 and 212,809.42 is: 293,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,901.40 : 531,142.50 = 212,809.42 : x
  2. Step 2: Convert to fraction form
    384,901.40/531,142.50 = 212,809.42/x
  3. Step 3: Cross multiply
    384,901.40x = 531,142.50 × 212,809.42
  4. Step 4: Simplify right side
    384,901.40x = 113,032,127,362.35
  5. Step 5: Solve for x
    x = 113,032,127,362.35/384,901.40
  6. Step 6: Final answer
    x = 293,665.15

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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.