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Finding the Fourth Proportional to 530,165.40, 794,729.70 and 214,200.60

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Solution

The fourth proportional to 530,165.40, 794,729.70 and 214,200.60 is: 321,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,165.40 : 794,729.70 = 214,200.60 : x
  2. Step 2: Convert to fraction form
    530,165.40/794,729.70 = 214,200.60/x
  3. Step 3: Cross multiply
    530,165.40x = 794,729.70 × 214,200.60
  4. Step 4: Simplify right side
    530,165.40x = 170,231,578,577.82
  5. Step 5: Solve for x
    x = 170,231,578,577.82/530,165.40
  6. Step 6: Final answer
    x = 321,091.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.