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Finding the Fourth Proportional to 384,226.87, 530,264.78 and 212,161.93

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Solution

The fourth proportional to 384,226.87, 530,264.78 and 212,161.93 is: 292,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,226.87 : 530,264.78 = 212,161.93 : x
  2. Step 2: Convert to fraction form
    384,226.87/530,264.78 = 212,161.93/x
  3. Step 3: Cross multiply
    384,226.87x = 530,264.78 × 212,161.93
  4. Step 4: Simplify right side
    384,226.87x = 112,501,999,135.83
  5. Step 5: Solve for x
    x = 112,501,999,135.83/384,226.87
  6. Step 6: Final answer
    x = 292,800.97

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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.