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Finding the Fourth Proportional to 384,072.98, 530,017.85 and 211,990.91

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Solution

The fourth proportional to 384,072.98, 530,017.85 and 211,990.91 is: 292,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,072.98 : 530,017.85 = 211,990.91 : x
  2. Step 2: Convert to fraction form
    384,072.98/530,017.85 = 211,990.91/x
  3. Step 3: Cross multiply
    384,072.98x = 530,017.85 × 211,990.91
  4. Step 4: Simplify right side
    384,072.98x = 112,358,968,192.77
  5. Step 5: Solve for x
    x = 112,358,968,192.77/384,072.98
  6. Step 6: Final answer
    x = 292,545.88

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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.