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Finding the Fourth Proportional to 384,087.90, 530,041.34 and 212,005.91

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Solution

The fourth proportional to 384,087.90, 530,041.34 and 212,005.91 is: 292,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,087.90 : 530,041.34 = 212,005.91 : x
  2. Step 2: Convert to fraction form
    384,087.90/530,041.34 = 212,005.91/x
  3. Step 3: Cross multiply
    384,087.90x = 530,041.34 × 212,005.91
  4. Step 4: Simplify right side
    384,087.90x = 112,371,892,914.08
  5. Step 5: Solve for x
    x = 112,371,892,914.08/384,087.90
  6. Step 6: Final answer
    x = 292,568.17

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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.