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Finding the Fourth Proportional to 384,269.49, 530,300.18 and 212,187.02

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Solution

The fourth proportional to 384,269.49, 530,300.18 and 212,187.02 is: 292,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,269.49 : 530,300.18 = 212,187.02 : x
  2. Step 2: Convert to fraction form
    384,269.49/530,300.18 = 212,187.02/x
  3. Step 3: Cross multiply
    384,269.49x = 530,300.18 × 212,187.02
  4. Step 4: Simplify right side
    384,269.49x = 112,522,812,778.63
  5. Step 5: Solve for x
    x = 112,522,812,778.63/384,269.49
  6. Step 6: Final answer
    x = 292,822.66

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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.