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Finding the Fourth Proportional to 384,130.80, 530,129.88 and 212,081.94

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Solution

The fourth proportional to 384,130.80, 530,129.88 and 212,081.94 is: 292,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,130.80 : 530,129.88 = 212,081.94 : x
  2. Step 2: Convert to fraction form
    384,130.80/530,129.88 = 212,081.94/x
  3. Step 3: Cross multiply
    384,130.80x = 530,129.88 × 212,081.94
  4. Step 4: Simplify right side
    384,130.80x = 112,430,973,402.37
  5. Step 5: Solve for x
    x = 112,430,973,402.37/384,130.80
  6. Step 6: Final answer
    x = 292,689.30

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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.