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Finding the Fourth Proportional to 384,702.91, 530,873.50 and 212,611.98

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Solution

The fourth proportional to 384,702.91, 530,873.50 and 212,611.98 is: 293,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,702.91 : 530,873.50 = 212,611.98 : x
  2. Step 2: Convert to fraction form
    384,702.91/530,873.50 = 212,611.98/x
  3. Step 3: Cross multiply
    384,702.91x = 530,873.50 × 212,611.98
  4. Step 4: Simplify right side
    384,702.91x = 112,870,065,433.00
  5. Step 5: Solve for x
    x = 112,870,065,433.00/384,702.91
  6. Step 6: Final answer
    x = 293,395.40

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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.