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Finding the Fourth Proportional to 384,225.22, 530,248.53 and 212,167.45

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Solution

The fourth proportional to 384,225.22, 530,248.53 and 212,167.45 is: 292,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,225.22 : 530,248.53 = 212,167.45 : x
  2. Step 2: Convert to fraction form
    384,225.22/530,248.53 = 212,167.45/x
  3. Step 3: Cross multiply
    384,225.22x = 530,248.53 × 212,167.45
  4. Step 4: Simplify right side
    384,225.22x = 112,501,478,476.35
  5. Step 5: Solve for x
    x = 112,501,478,476.35/384,225.22
  6. Step 6: Final answer
    x = 292,800.87

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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.