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Finding the Fourth Proportional to 384,140.40, 530,110.32 and 212,060.40

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Solution

The fourth proportional to 384,140.40, 530,110.32 and 212,060.40 is: 292,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,140.40 : 530,110.32 = 212,060.40 : x
  2. Step 2: Convert to fraction form
    384,140.40/530,110.32 = 212,060.40/x
  3. Step 3: Cross multiply
    384,140.40x = 530,110.32 × 212,060.40
  4. Step 4: Simplify right side
    384,140.40x = 112,415,406,503.33
  5. Step 5: Solve for x
    x = 112,415,406,503.33/384,140.40
  6. Step 6: Final answer
    x = 292,641.46

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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.